case study based on coordinate geometry class 9

• Coordinate Geometry Class 9 Case Study Questions Maths Chapter 3

Last Updated on August 26, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 9 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 9 maths. In this article, you will find case study questions for CBSE Class 9 Maths Chapter 3 Coordinate Geometry. It is a part of Case Study Questions for CBSE Class 9 Maths Series.

	Coordinate Geometry
	Case Study Questions
	Competency Based Questions
	CBSE
	9
	Maths
	Class 9 Studying Students
	Yes
	Mentioned

Table of Contents

Case Study Questions on Coordinate Geometry

Four friends Aakansha, Prabhat, Puneet and Lalit are sitting in a park at points A, B, C and D respectively. This park has been divided into small squares by drawing equally distanced horizontal and vertical lines. Consider XOX’ and YOY’ as coordinate axes.

On the basis of the above information, solve the following questions:

Q. 1. Find the coordinates of B.

Q. 2. In which quadrant, point A is located?

Q. 3. Find the image of a point A with respect to Y-axis.

Q 4. Find the area of figure.

Ans 1. The perpendicular distance of B from y is 2 in positive direction and perpendicular distance of B from X-axis is 3 in negative direction of Y-axis. Hence, coordinates of B  are (2, -3).

Ans 2. Point A is located in III quadrant.

Ans 3. The coordinate of point A is (-3, 3). The image of a point A (-3, -3) with respect to Y-axis (3, -3).

Ans 4. Now, length of AB = |-3| + 2 = 3 + 2 = 5 Height = perpendicular distance of D from AB = 4 Therefore, Area of parallelogram = length x height = 5 x 4 = 20 sq. units.

Understanding Coordinate Geometry

• Cartesian System: The system used to describe the position of a point in a plane. In this system, two mutually perpendicular lines are required, one is horizontal XOX’ called X-axis and the other is vertical YOY’ called Y-axis.
• Cartesian Plane: The plane in cartesian system is called cartesian plane and the lines in it are called coordinate axes.
• Origin: It is the point of intersection of the axes and is denoted by O. Its coordinates are (0, 0).
• Quadrants: The coordinate-axes divide the plane into four parts called quadrants, numbered I, II, III and IV are in anti-clockwise from OX.

Positive and Negative Directions:

• The positive numbers lie in the directions OX and OY are said to be positive directions of X-axis and Y-axis respectively.
• The negative numbers lie in the directions OX’ and OY’ are said to be negative directions of X-axis and Y-axis respectively.
• Quadrilaterals Class 9 Case Study Questions Maths Chapter 8
• Triangles Class 9 Case Study Questions Maths Chapter 7
• Lines and Angles Class 9 Case Study Questions Maths Chapter 6
• Introduction to Euclid’s Geometry Class 9 Case Study Questions Maths Chapter 5
• Linear Equations in Two Variables Class 9 Case Study Questions Maths Chapter 4

Polynomials Class 9 Case Study Questions Maths Chapter 2

Number systems class 9 case study questions maths chapter 1, topics from which case study questions may be asked.

• The Cartesian plane
• Coordinates of a point
• Names and terms associated with the coordinate plane

In stating the coordinates of a point in cartesian plane, the x-coordinate comes first and then the y-coordinate, We place the coordinates in brackets, i.e., (x, y)

Case study questions from the above given topic may be asked.

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Frequently Asked Questions (FAQs) on Coordinate Geometry Case Study

Q1: what is coordinate geometry.

A1: Coordinate Geometry, also known as analytic geometry, is the study of geometry using a coordinate system. This branch of mathematics uses algebraic equations to represent geometric shapes and analyze their properties, positions, and relationships in a two-dimensional plane.

Q2: What are the main concepts covered in Class 9 Coordinate Geometry?

A2: Class 9 Coordinate Geometry covers topics like the Cartesian coordinate system, plotting points on the coordinate plane, finding the distance between two points, and understanding the section formula.

Q3: What common mistakes should be avoided in Coordinate Geometry?

A3: Common mistakes include mis-plotting points on the coordinate plane, confusing the order of coordinates, incorrect application of formulas, and errors in arithmetic operations. It’s important to double-check your work and understand the underlying concepts to avoid these errors.

Q4: What is the Cartesian coordinate system?

A4: The Cartesian coordinate system is a two-dimensional plane defined by two perpendicular axes: the x-axis (horizontal) and the y-axis (vertical). The point where they intersect is called the origin, and each point on the plane is represented by a pair of coordinates (x, y).

Q5: How do you plot a point on the coordinate plane?

A5: To plot a point, first move along the x-axis to the x-coordinate, then move parallel to the y-axis to the y-coordinate. Mark the intersection of these positions on the plane.

Q6: What is the significance of the origin in Coordinate Geometry?

A6: The origin (0, 0) is the central point where the x-axis and y-axis intersect. It serves as the reference point for locating all other points on the plane.

Q8: How do you determine the quadrant of a point?

A8: The coordinate plane is divided into four quadrants: Quadrant I: Both x and y are positive. Quadrant II: x is negative, y is positive. Quadrant III: Both x and y are negative. Quadrant IV: x is positive, y is negative.

Q8: Are there any online resources or tools available for practicing coordinate geometry case study questions?

A8: We provide case study questions for CBSE Class 9 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.

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CBSE Case Study Questions for Class 9 Maths Coordinate Geometry Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 9 Maths Coordinate Geometry  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 9 Maths Coordinate Geometry PDF

Checkout our case study questions for other chapters.

• Chapter 1 Number Systems Case Study Questions
• Chapter 2 Polynomials Case Study Questions
• Chapter 4 Linear Equations in Two Variables Case Study Questions
• Chapter 5 Euclids Geometry Case Study Questions

How should I study for my upcoming exams?

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Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

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CBSE Class 9 Mathematics Case Study Questions

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If you’re looking for a comprehensive and reliable study resource and case study questions for class 9 CBSE, myCBSEguide is the perfect door to enter. With over 10,000 study notes, solved sample papers and practice questions, it’s got everything you need to ace your exams. Plus, it’s updated regularly to keep you aligned with the latest CBSE syllabus . So why wait? Start your journey to success with myCBSEguide today!

Significance of Mathematics in Class 9

Mathematics is an important subject for students of all ages. It helps students to develop problem-solving and critical-thinking skills, and to think logically and creatively. In addition, mathematics is essential for understanding and using many other subjects, such as science, engineering, and finance.

CBSE Class 9 is an important year for students, as it is the foundation year for the Class 10 board exams. In Class 9, students learn many important concepts in mathematics that will help them to succeed in their board exams and in their future studies. Therefore, it is essential for students to understand and master the concepts taught in Class 9 Mathematics .

Case studies in Class 9 Mathematics

A case study in mathematics is a detailed analysis of a particular mathematical problem or situation. Case studies are often used to examine the relationship between theory and practice, and to explore the connections between different areas of mathematics. Often, a case study will focus on a single problem or situation and will use a variety of methods to examine it. These methods may include algebraic, geometric, and/or statistical analysis.

Example of Case study questions in Class 9 Mathematics

The Central Board of Secondary Education (CBSE) has included case study questions in the Class 9 Mathematics paper. This means that Class 9 Mathematics students will have to solve questions based on real-life scenarios. This is a departure from the usual theoretical questions that are asked in Class 9 Mathematics exams.

The following are some examples of case study questions from Class 9 Mathematics:

Class 9 Mathematics Case study question 1

There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak,  Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of   XOY, X’OY, X’OY’ and XOY’ . Their balls stopped as shown in the above image.

Answer the following questions:

Answer Key:

Class 9 Mathematics Case study question 2

• Now he told Raju to draw another line CD as in the figure
• The teacher told Ajay to mark  ∠ AOD  as 2z
• Suraj was told to mark  ∠ AOC as 4y
• Clive Made and angle  ∠ COE = 60°
• Peter marked  ∠ BOE and  ∠ BOD as y and x respectively

Now answer the following questions:

• 2y + z = 90°
• 2y + z = 180°
• 4y + 2z = 120°
• (a) 2y + z = 90°

Class 9 Mathematics Case study question 3

• (a) 31.6 m²
• (c) 513.3 m³
• (b) 422.4 m²

Class 9 Mathematics Case study question 4

How to Answer Class 9 Mathematics Case study questions

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Students need to be careful while solving the Class 9 Mathematics case study questions. They should not make any assumptions and should always check their answers. If they are stuck on a question, they should take a break and come back to it later. With some practice, the Class 9 Mathematics students will be able to crack case study questions with ease.

Class 9 Mathematics Curriculum at Glance

At the secondary level, the curriculum focuses on improving students’ ability to use Mathematics to solve real-world problems and to study the subject as a separate discipline. Students are expected to learn how to solve issues using algebraic approaches and how to apply their understanding of simple trigonometry to height and distance problems. Experimenting with numbers and geometric forms, making hypotheses, and validating them with more observations are all part of Math learning at this level.

The suggested curriculum covers number systems, algebra, geometry, trigonometry, mensuration, statistics, graphing, and coordinate geometry, among other topics. Math should be taught through activities that include the use of concrete materials, models, patterns, charts, photographs, posters, and other visual aids.

CBSE Class 9 Mathematics (Code No. 041)

I	NUMBER SYSTEMS	10
II	ALGEBRA	20
III	COORDINATE GEOMETRY	04
IV	GEOMETRY	27
V	MENSURATION	13
VI	STATISTICS & PROBABILITY	06

Class 9 Mathematics question paper design

The CBSE Class 9 mathematics question paper design is intended to measure students’ grasp of the subject’s fundamental ideas. The paper will put their problem-solving and analytical skills to the test. Class 9 mathematics students are advised to go through the question paper pattern thoroughly before they start preparing for their examinations. This will help them understand the paper better and enable them to score maximum marks. Refer to the given Class 9 Mathematics question paper design.

QUESTION PAPER DESIGN (CLASS 9 MATHEMATICS)

1.	Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.  Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas	43	54
2.	Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.	19	24
3.	Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions	18	22
		80	100

myCBSEguide: Blessing in disguise

Class 9 is an important milestone in a student’s life. It is the last year of high school and the last chance to score well in the CBSE board exams. myCBSEguide is the perfect platform for students to get started on their preparations for Class 9 Mathematics. myCBSEguide provides comprehensive study material for all subjects, including practice questions, sample papers, case study questions and mock tests. It also offers tips and tricks on how to score well in exams. myCBSEguide is the perfect door to enter for class 9 CBSE preparations.

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16 thoughts on “CBSE Class 9 Mathematics Case Study Questions”

This method is not easy for me

aarti and rashika are two classmates. due to exams approaching in some days both decided to study together. during revision hour both find difficulties and they solved each other’s problems. aarti explains simplification of 2+ ?2 by rationalising the denominator and rashika explains 4+ ?2 simplification of (v10-?5)(v10+ ?5) by using the identity (a – b)(a+b). based on above information, answer the following questions: 1) what is the rationalising factor of the denominator of 2+ ?2 a) 2-?2 b) 2?2 c) 2+ ?2 by rationalising the denominator of aarti got the answer d) a) 4+3?2 b) 3+?2 c) 3-?2 4+ ?2 2+ ?2 d) 2-?3 the identity applied to solve (?10-?5) (v10+ ?5) is a) (a+b)(a – b) = (a – b)² c) (a – b)(a+b) = a² – b² d) (a-b)(a+b)=2(a² + b²) ii) b) (a+b)(a – b) = (a + b

MATHS PAAGAL HAI

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Where is search ? bar

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Can I have more questions without downloading the app.

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Class 9th Maths - Coordinate Geometry Case Study Questions and Answers 2022 - 2023

Class 9th Maths - Coordinate Geometry Case Study Questions and Answers 2022 - 2023 Study Materials Sep-08 , 2022

QB365 provides a detailed and simple solution for every Possible Case Study Questions in Class 9th Maths Subject - Coordinate Geometry, CBSE. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.

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Coordinate geometry case study questions with answer key.

Final Semester - June 2015

(b) What are the coordinates of C and D respectively?

(c) What is the distance between B and D?

(d) What is the distance between A and C?

(e) What are the coordinates of the point of intersection of AC and BD?

(ii) What are the coordinates of Police Station?

(iii) Distance between school and police station:

(iv) What are the coordinates of Library?

(v) In which quadrant the point (-1, 4) lies?  

(b) What are the coordinates of A and B respectively?

(c) The coordinates of point O in the sketch -2 is

(d) The point on the y-axis ( in sketch 2) which is equidistant from the points B and C is 

(e) The point on the x-axis ( in sketch 2) which is equidistant from the points C and D is

(b) What are the coordinates of R, taking A as origin?

(c) Side of lawn is :

units

(d) Shape of lawn is :

(e) Area of lawn is :

(ii) What are the coordinates of position 'D'?

(iii) What are the coordinates of position 'H'?

(iv) In which quadrant, the point 'C' lie?

(v) Find the perpendicular distance of the point E from the y-axis.

*****************************************

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Important Questions for CBSE Class 9 Maths Chapter 3 - Coordinate Geometry

• Class 9 Important Question
• Chapter 3: Coordinate Geometry

Download Important Questions for Class 9 Maths Chapter 3 - Coordinate Geometry - Free PDF

Welcome to our comprehensive collection of Important Questions for CBSE Class 9 Maths Chapter 3 - Coordinate Geometry available in Vedantu. As students progress through their academic journey, mastering the concepts of Coordinate Geometry becomes essential. Our carefully curated list of questions aims to provide students with a thorough understanding of this chapter and boost their problem-solving skills. With a focus on CBSE guidelines and exam patterns, these questions cover various topics such as plotting points, finding distances, and calculating gradients on the coordinate plane. Whether you're looking to strengthen your knowledge or preparing for exams, our curated set of important questions is a valuable resource to excel in Coordinate Geometry. Get ready to explore the fascinating world of coordinates and elevate your mathematical prowess!

Download CBSE Class 9 Maths Important Questions 2024-25 PDF

Also, check CBSE Class 9 Maths Important Questions for other chapters:

CBSE Class 9 Maths Important Questions
Sl.No	Chapter No	Chapter Name
1	Chapter 1
2	Chapter 2
3	Chapter 3	Coordinate Geometry
4	Chapter 4
5	Chapter 5
6	Chapter 6
7	Chapter 7
8	Chapter 8
9	Chapter 9
10	Chapter 10
11	Chapter 11
12	Chapter 12
13	Chapter 13
14	Chapter 14
15	Chapter 15

Study Important Questions for Class - 9 Mathematics Chapter – 3 Coordinate Geometry

Section - A

1 On which axes do the given points lie?

ii. (0, -3)

iii. (0, 6)

iv. (-5, 0)

i. (7,0) X-axis since the y component is zero

ii. (0, -3) Y-axis since the x component is zero

iii. (0,6) Y-axis since the x component is zero

iv. (-5,0) X-axis since the y component is zero

2 In which quadrants do the given points lie?

ii. (-3, 7)

iii. (-1, -2)

iv. (3, 6) 

i. (4,-2) IV quadrant since the x component is positive and y component is negative

ii. (-3,7) II quadrant since the x component is negative and y component is positive

iii. (-1,-2) III quadrant since the x component is negative and y component is negative

iv. (3,6) I quadrant. since the x component is positive and y component is positive

3. Do P (3, 2) & Q(2, 3) represent the same point? 

Ans: P(3,2) and Q(2,3) do not represent the same point. The first one has the x component is 3 and y is two, while Q has the x component as 2 and y component is 3.

4. In which quadrant points P(3,0), Q(6,0) , R (-7.0), S (0,-6), lie?

Ans: These points do not lie in any quadrant. These points lie on the axes.

5. If a<0 and b<0, then the point P(a,b) lies in

a) quadrant IV

b) quadrant II

c) quadrant III

d) quadrant I

Ans: (c) quadrant III

6. The points (other than the origin) for which the abscissa is equal to the ordinate lie in

a) Quadrant I only

b) Quadrant I and II

c) Quadrant I & III

d) Quadrant II only.

Ans: (c) quadrant I & III. 

In III and I quadrants, the axes have the same sign.

7. The perpendicular distance of the point P(4,3) from the y axis is

c) 7 Units 

Ans: (a) 3 units

Distance from the Y axis is the x coordinate of the point.

8. The area of triangle OAB with 0(0,0), A(4,0) & B(0,6) is

a) 8 sq. unit

b) 12 sq. units

c) 16 sq. units

d) 24 sq. units

Ans: (b) 12 sq. units.

Area is half of the product of base and height of the triangle.

Section - B

9. Write down the coordinates of each of the points P, Q, R, S and T as shown in the following figure?

10. Draw the lines X'OX and YOY as the axes on the plane of a paper and plot the given points.

ii. B (-3, 2)

iii.  C(-5, -4)

iv. D(2,-6) 

Section - C

11. Find the mirror images of the following point using x-axis & y-axis as mirror.

ii.  B(2,-3)

iii. C(-2,3)

iv. D(-2,-3)

Ans:  

i. A’ (2,-3),

ii. B’ (2,3)

iii. C’ (-2,-3), 

iv. D’ (-2,3)

12. Draw the graph of the following equations

i. \[{\bf{y}} = {\bf{3x}} + {\bf{2}}\]

ii. \[{\bf{y}} = {\bf{x}}\]

13. Draw a triangle with vertices 0(0,0) A(3,0) B(3,4). Classify the triangle and also find its area.

Ans:   The points from a right angle triangle

The area of the triangle is half of the product of the base and height i.e. 6 square units.

14. Draw a quadrilateral with vertices A(2,2) B(2,-2) C(-2,-2), D(-2,2). Classify the quadrilateral and also find its area.

This quadrilateral is square of area =16 square units.

15. Find the coordinates of point which are equidistant from these two points P(3,0) and Q(-3,0). How many points are possible satisfying this condition?

Ans: All the point on the Y-axis satisfy this condition.

1 Mark Questions

1. The point of intersection of X and Y axes is called

(a) zero point

(c) null point

(d) none of these 

Ans: (b) origin

2. The distance of the point (-3, -2) from x-axis is

(a) 2 units

(b) 3 units

(c) 5 units

(d) 13 units 

Ans: (a) 2 units

Distance from the x axis is the magnitude/absolute value of the y coordinate of the point.

3. The distance of the point (-6, -2) from y-axis is

(a) 6 units

(b) 10 units

(c) 2 units

(d) 8 units 

Ans : (a) 6 units

Distance from the y axis is the magnitude/absolute value of the x coordinate of the point.

4. The abscissa and ordinate of the point with Co-ordinates (8, 12) is

(a) abscissa 12 and ordinate 8

(b) abscissa 8 and ordinate 12

(c) abscissa 0 and ordinate 20

(d) none of these

Ans: (a) abscissa 12 and ordinate 8

Abscissa is the y coordinate of the point and the ordinate is the x coordinate value.

5. The co-ordinate of origin in

(b) (0, y) 

(d) none of these.

Ans : (c) (0, 0)

For the origin, both abscissa and ordinate are 0.

6. The distance of the point (2,3) from y axis’s

(A) 2 units

(B) 3 units

(C) 5 units

(D) 13 units 

Ans: (A) 2 units

Distance from the x axis is the magnitude/absolute value of the y coordinate of the point. And the distance from the y axis is the magnitude/absolute value of the x coordinate of the point.

7. The point (-2, -1) lies in

(A) 1st quadrant

(B) 2nd quadrant

(C) 3rd quadrant

(D) 4th quadrant

Ans: (C) 3rd quadrant

3 rd quadrant corresponds to both negative x and y values.

8. The point (3,0) lies on

(A) +ve x axis

(B) – ve x axis

(C) + ve y axis

(D) –ve y axis 

Ans: (A) +ve x axis

Since the y coordinate is zero and x-coordinate is positive.

9. The distance of the point (3, 5) from x- axis is

(a) 3 units

(b) 4 units

(d) 6 units  

Ans: (c) 5 units

10. The point (0, -5) lies on

(a) +ve x- axis

(b) +ve y- axis

(c) –ve x- axis

(d) –ve y-axis 

Ans: (d) –ve y-axis

Since the x-coordinate is zero and y is negative.

11. The point (-2, 5) lies in

(a) 1st quadrant

(b) 2nd quadrant

(c) 3rd quadrant

(d) 4th quadrant

Ans: (b) 2nd quadrant.

In the second quadrant, the x-values are negative and y are positive.

12. The distance of the point (3, 0) from x- axis is

(b) 0 units

(c) 9 units

Ans: (a) 3 units.

2 Marks Questions

1. Write the name of each part of the plane formed by Vertical and horizontal lines.

Ans: Vertical line is called y-axis, the horizontal line is called x-axis. And these form four quadrants.

2. Write the Co-ordinates of a point which lies on the x-axis and is at a distance of 4units to the right of origin. Draw its graph.

Ans: (4, 0)

3. Write the mirror image of the point (2, 3) and (-4, -6) with respect to x-axis.

Ans: The mirror image of point (2, 3) is (2, -3) with respect to x-axis.

The mirror image of (-4, -6) is (-4,6) with respect to the x-axis.

4. Write the Coordinates of a point which lies on the y-axis and is at a distance of 3 units above x-axis. Represent on the graph.

Ans: The Coordinates of the point which lies on y-axis and at a distance of 3units above x- axis is (0, 3).

5. Write abscissa and ordinate of point (-3, -4) 

Ans: Abscissa -3 ordinate -4

6. State the quadrant in which each of the following points lie: 

(ii) (-7,11)

(iii) (-6, -4) 

(iv) (-5, -5)

Ans: (2, 1) I Quadrant

(-7, 11) II Quadrant

(-6, -4) III Quadrant

(-5, -5) III Quadrant

7. Which of the following points belongs to 2nd quadrant

(ii) (-3,2)

(iii) (2,0)

(iv)  (-4,2)

Ans: The points (-3, 2), (-4, 2) belong to the 2nd quadrant.

8. What is the name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane?

Ans: The horizontal line is called x –axis and the name of vertical line is y – axis

9. Name the points of the plane which do not belong to any of the quadrants.

Ans: The points in a plane which do not belong to any one of the quadrants is origin which is denoted by O (0,0).

10. Which of the following points belong to the x- axis? 

(a) (2, 0) (b) (3, 3) (c) (0, 1) (d) (-2, 0)

Ans: (2, 0) and (-2, 0) belong to the x- axis.

To belong on the y axis the y-component should be zero.

11. Which of the following points belongs to 1st quadrant 

(a) (3, 0) (b) (1, 2) (c) (-3, 4) (d) (3, 4)

Ans: (1, 2) and (3, 4) belong to the 1st quadrant.

12. Which of the following points belongs to 3rd quadrant

(a) (1, 3) (b) (-1, -3) (c) (0, 4) (d) (-4, -2)

Ans: (-1, -3) and (-4, -2) belong to the 3rd quadrant.

3 Marks Questions

1. How will you describe the position of a table lamp on your study table to another person?

Consider the figure of a tabletop, on which a lamp (L)  is placed.

Consider the lamp on the table as a point and the table as a plane. 

Choose one of the corners as the Origin-O (0,0). Measure the distance of the lamp from the shorter edge and the longer edge. Let us assume that the distance of the lamp from the shorter edge is 3m and from the longer edge, its 2m.

Therefore, we can conclude that the position of the lamp on the table can be described in two ways depending on the order of the axes as (3,2).

2. Write the answer of each of the following questions:

(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?

Ans: The horizontal line that is drawn to determine the position of any point in the Cartesian plane is named the x-axis and the vertical line is called the y-axis.

(ii) What is the name of each part of the plane formed by these two lines?

Ans: The name of each part of the plane that is formed by x-axis and y-axis is called a quadrant.

(iii) Write the name of the point where these two lines intersect.

Ans: The point, where the x-axis and the y-axis intersect is called the origin denoted by O(0,0).

3. In which quadrant or on which axis do each of the points (– 2, 4),  (3, – 1),  (-1,0), (1,2) and (–3,–5) lie? Verify your answer by locating them on the Cartesian plane.

Ans: Tpoint (– 2, 4) lies in II quadrant;

the point (3, – 1) lies in IV quadrant;

the point (– 2, 4) lies in II quadrant; 

the point (3, – 1) lies in IV quadrant and  

the point (–1, 0) lies on the x-axis.

These can be verified from the figure below.

4. Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

x	-2	-1	0	1	3
y	8	7	-1.25	3	-1

5. Locate the points (5, 0), (0, 5), (2, 5), (5, 2), (-3, 5), (-3, -5) and (6, 1) in the Cartesian plane.

6. Take a triangle ABC with A (3, 0), B (-2, 1), C (2, 1). Find its mirror image.

Ans: Mirror images of A (3, 0), B (-2, 1) and C (2, 1) about the x-axis are A’ (3, 0),  B’(-2,-1),  C’(2,-1) respectively. 

7. In fig. write the Co-ordinates of the points and if we join the points write the name of fig. formed. Also write Co-ordinate of intersection point of AC and BD. 

(i) The Co-ordinate of point A is (0, 2), B is (2, 0), C is (0, -2) and D is (-2,0).

(ii) It we joined them we get square.

(iii) Co-ordinate of intersection point of AC and BD is (0, 0).

8. In which quadrant or on which axis do each of the points (-2, 4), (2, -1), (-1, 0), (1, 2) and (-3, -5) lie? Verify your answer by locating them on the Cartesian plane.

(-2, 4) lies in II quadrant;

(2, -1) lies in IV quadrant;

(-1, 0) lies on –ve x-axis;

(1, 2) lies in I quadrant and

(-3, -5) lies in III quadrant.

This can be verified using the following graph: 

9. In fig of vertices find co-ordinates of triangle ABC

Ans: (A) (0, 0) (B) (2, 3) (c) (-2, 3)

10. Take a quadrilateral ABCD

(A) (-5, -4) (B) (-5, 2) (C) (-3, 3) and (D) (-3, 4) find its mirror image with respect to y- axis.

Ans: The mirror image of point.

(A) (-5, 4) (B) (-5, 2) (C) (-3, 3) and (D) (-3, 4) wrt y-axis are.

A’ (5, 4), B’ (5, 2), C’ (3, 3) and D’ (3, 4)

11. Locate the points (A) (-3, 4) (B) (3, 4) and (C) (0, 0) in a Cartesian plane write the name of figure which is formed by joining them.

The figure formed is a triangle.

12. Find Co-ordinates of vertices of rectangle ABCD

Ans: The co- ordinates of vertices of rectangle A (2, 2), B (-2, 2), C (-2, -2) and D (2, -2).

13. Take a rectangle ABCD with A (-6, 4), B (-6, 2), C (-2, 2) and D (-2, 4). Find its mirror image with respect to x- axis.

Ans: The mirror image of A (-6, 4) is A’ (-6, -4) and B (-6, 2) is B’ (-6, -2), C (-2, 2) is C’ (-2, -2) and D (-2, 4) is D’ (-2, -4)

14. The following table gives measures (in degrees) of two acute angles of a right triangle

x	10	20	30	40	50	60	70	80
y	80	70	60	50	40	30	20	10

Plot the point and join them.

15. Plot each of the following points in the Cartesian Plane 

(b) (-3, -4)

(c) (0, -5)

(d) (2, -5)

(e) (2, 0) 

4 Marks Questions

1. (Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.

All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North - South direction and another in the East – West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North - South direction and 5th in the East - West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

(i) how many cross - streets can be referred to as (4, 3).

(ii) how many cross - streets can be referred to as (3, 4).

Ans: We need to draw two perpendicular lines as the two main roads of the city that cross each other at the center and let us mark it as N-S and E-W.

Let us take the scale as 1 cm = 200m.

Following figure shows the perpendicular roads .

(i) From the figure it can be inferred that only one point have the coordinates as (4,3). Hence, it can  be concluded that only one cross - street can be referred to as (4, 3).

(ii) Only one point have the coordinates as (3,4). Therefore, it can be concluded that only one cross - street can be referred to as (3, 4).

2. See Fig.3.14, and write the following:  

(i) The coordinates of B. 

Ans: The coordinates of point B in the above figure is the distance of point B from x-axis and y- axis. Therefore, we can conclude that the coordinates of point B are (―5, 2).

(ii) The coordinates of C.

Ans: The coordinates of point C in the above figure is the distance of point C from x-axis and y- axis. Therefore, we can conclude that the coordinates of point C are (5, ―5).

(iii) The point identified by the coordinates (–3, –5).

Ans: The point E represents the coordinates (―3, ―5).

(iv) The point identified by the coordinates (2, – 4). 

Ans: The point G that represents the coordinates (2, ―4).

(v) The abscissa of the point D. 

Ans: The abscissa of point D in the given figure is the distance of point D from the y-axis which is 6.

(vi) The ordinate of the point H. 

Ans: The ordinate of point H in the above figure is the distance of point H from the x-axis which is ―3.

(vii) The coordinates of the point L. 

Ans: The coordinates of point L in the above figure is the distance of point L from x-axis and y-axis. Therefore, we can conclude that the coordinates of point L are (0, 5).

(viii) The coordinates of the point M.

Ans: The coordinates of point M in the above figure is the distance of point M from x-axis and y-axis. Therefore, we can conclude that the coordinates of point M are (―3, 0).

5 Marks Questions

1. See fig. and write the following

(i) The Co-ordinates of B

Ans: (-5,2) 

(ii) The Co-ordinates of C

Ans: (5, -5)

(iii) On which axis point L lies.

Ans: Y-axis

(iv) The abscissa of the point D  

Ans: As shown in the figure the abscissa of point D is 6.

(v) The Co-ordinates of point L

Ans: (0, 5)

(vi) On which axis point M lies. 

Ans: Point M lies on X-axis.

(vii) The ordinate of the point H

Ans: The ordinate of point H is -3

(viii) The Co-ordinates of the point M

Ans: (-3, 0)

(ix) The point identified by the Co-ordinate (2, -4)

Ans: G has the coordinate (2,-4)

(x) The point identified by the Co-ordinates (-3, -5)

Ans: E has the coordinate (-3,-5)

2. Find some ordered pairs of the linear equation \[{\bf{2x}} + {\bf{y}} = {\bf{4}}\] and plot them ‘how many such ordered pairs can be found and plotted?

Ans: The given equation is \[2x + y = 4\] The equation holds if

\[x = 0,\,y = 4\] i.e. (0, 4),

\[x = 1,\,y = 2\] i.e. (1, 2),

\[x = 2,\,y = 0\] i.e. (2, 0) ,

\[x = 3,\,y =  - 2\] i.e. (3, -2)…

Similarly (4,-4), (5,-6), (-1,6), (-2,8) etc. also. These are a few ordered pares which are valid solutions. And there are infinite such ordered pairs

3. The following table given the relation between natural numbers and odd natural numbers

x	1	2	3	4	5	6	7
y	3	5	7	9	11	13	15

Plot the points and join them. Do you get a straight line by joining these points?

Yes a straight line is obtained by joining these points.

Chapter 3 Maths Class 9 Important Questions - Free PDF Download

The Coordinate Geometry Class 9 Important Questions present reliable and accurate learning elements for students to understand the chapter efficiently. The students will receive the necessary understanding of the chapters to clear the difficult problems in class. Expert subject teachers of mathematics prepare these questions. Hence, solving these questions will help students obtain a better understanding of the type of questions asked in the examinations and how to format their answers correctly.

Vedantu presents a free PDF to download for Class 9 Chapter 3 Important Questions so that students can prepare well according to the CBSE syllabus. Students need to understand these guidelines and find solutions with a proper explanation. This free PDF online will surely help students understand their concepts and build a solid base on Coordinate Geometry.

Important Questions for Class 9 Maths Coordinate Geometry

Coordinate geometry is an intriguing subject where students get to learn about the object’s position in a plane, learn about the concepts and coordinates of the cartesian plane and so on. The topics covered in the chapter are : 

Introduction 

Cartesian System 

Plotting a Point 

Coordinate geometry.

Coordinate geometry deals with the locating points on a plane when the aligned numbers, called coordinates for a particular point, are given. It presents geometric aspects in Algebra and allows them to solve geometric problems.

Concepts of Coordinates

The intersection point of the x-axis and the y-axis is identified as the origin. Both x and y are 0 at this point.

The right-hand side of the x-axis values are positive, and the x-axis values on the left-hand side are negative.

Similarly, the values located above the origin on the y-axis, are positive, and the values are negative, which are located below the origin.

It is determined by a collection of two numbers, to locate a point on the plane. 

Cartesian System

A Cartesian coordinate system is a system in two dimensions that can be used to locate a  point with the help of two unique numbers called coordinates. The point along the x-axis is called the x-coordinate and the point along the y-axis is called the y-coordinate.

Two perpendicular directed lines are stipulated to define the coordinates, and the unit length is marked off on the two axes (fig 1). Cartesian coordinate systems are also used in higher space dimensions. 

By using the Cartesian coordinate system, geometric shapes are represented by algebraic equations. For example, radius 2 circle may be defined by the equation x² + y² = 4 (Figure 2).

Distance Between Two Points

Distance between two points of the plane

(x₁, y₁) and (x₂, y₂) is d = [(x₂ – x₁)² + (y₂ – y₁)]¹/²

In case of a three-dimensional system, the formula of the distance between the points 

(x₁, y₁, z₁) and (x₂, y₂, z₂) is d = [(x₂ – x₁)² + (y₂ – y₁)² + (z₂ – z₁)² ] 1/2

Vector Representation

The two-dimensions vector, from the origin to the point with the cartesian coordinates (x, y) can be written as r = xi + yj where i = (1,0) and j = (0,1) are vectors units in the direction of the x-axis and y-axis respectively.

In three-dimensions cases, we will have r = xi + yj + zk, where k = (0,0,1) is the vector unit in the direction of z-axis.

To plot or graph points, we can employ two perpendicular lines called the x-axis and the y-axes. The x-axis is horizontal, and the y axis is the vertical line. The part of the x-axis towards the right of origin is the positive x-axis, and the one towards the left of the origin is the negative x-axis. Similarly, the part of the y-axis above the origin is the positive y-axis, and the part of y-axis below the origin is the negative y-axis. In the coordinate plane, every point is designed by an assigned pair of x and y coordinates.

Let's Consider the Example

Using the Pencil, Plot the Point −4,3

The first coordinates inform about the right or left movement from the origin. The second coordinate tells about the up or down movement from the origin.

Since x coordinate is a −4, there is a movement towards the left 4 units from the origin. The coordinate of y is 3, which means movement two units vertically up to get to the point −4,3. 

List of Important Questions for Class 9 Maths Chapter 3

Chapter 3 Maths Class 9 Important Questions include different types of questions that cover all the sub-topics of the entire chapter. Important questions from each topic are covered in the PDF to provide students with a clear and logical understanding of the chapter. Some of the important questions that are frequently asked in the exam from this chapter are-

In which axis or quadrant do each of the points (–2, 4), (3, –1), (–1, 0),(1, 2) and (–3, –5) lie? Prove your answer by placing them on the Cartesian plane.

Plot the points (y, z) in the following table on the plane, picking proper units of distance on the axes where 

y	-2	-3	0	1
z	8	7	1.25	3

State the name of the point where two lines intersect.

Define the three-dimensional Cartesian coordinate system.

Locate the points in the Cartesian plane (0, 5), (5, 0), (2, 5), (–3, 5), (5, 2),(–3, –5), (5, –3) and (6, 1). 

State the name of vertical lines and the horizontal lines formed to determine the position of any point in the Cartesian plane? 

State the name of every part of the plane developed by two lines?

Describe the Cartesian plane.

Two rolling dice are rolled at the same time. Let the numbers on Dice1 and Dice 2 be denoted by y and z respectively. After each roll, the point S(y, z) is outlined in the plane. Plot all the probable positions of S, and highlight those positions for which the sum of y and z is 8.

In the Cartesian plane plot the five points for which ordinate and the abscissa are equal.

In the Cartesian plane plot the following points - A (1.3, 2.4), B ( - 2.7, 3.2), C ( - 1.1,  - 3.6) and D (4, - 2)

Practice Questions from Class 9 Chapter 3 Maths Coordinate Geometry

1. Find the distance of the point (-3, 4) from the x-axis. 

2. If the points A(x, 2), B(-3, 4) and C(7, -5) are collinear, then find the value of x.

3. For what value of k will k + 9, 2k – 1 and 2k + 7 be the consecutive terms of an A.P.?

4. Find the relation between x and y if the points A(x, y), B(-5, 7) and C(-4, 5) are collinear.

5. Find the ratio in which the y-axis divides the line segment joining the points A(5, -6) and B(-1, -4). Also, find the coordinates of the point of division.

6. Let P and Q be the points of trisection of the line segment joining the points A (2, -2) and B (-7, 4) such that P is nearer to A. Find the coordinates of P.

Benefits of Chapter 3 Maths Class 9 Important Questions

The Basic Concepts of Coordinate Geometry assists students in achieving a high grade by providing a thorough comprehension of the chapter's principles. Pupils that understand the ideas, theories, and calculations can achieve higher percentages on their exams. The following are some of the advantages of significant problems for class 9 mathematics coordinate geometry:

The Coordinate Geometry Class 9 Important Questions PDF is prepared according to the examination guidelines to help students score well in the examinations.

Expert Mathematics subject teachers prepare these questions.

The questions are prepared after a thorough analysis of the previous year's question papers combining the syllabus’s revisions.

The PDF also comprises solutions so that students can refer to them in case of any doubts.

Students can check information about the topics by following the reference books or by searching them on the Vedantu portal.

Practising questions from the PDF will develop the student’s understanding of the concepts and the examination pattern.

Key Features of Important Questions Class 9 Maths Chapter 3 - Coordinate Geometry

All the questions are written from an examination point of view.

Step-by-step solutions for questions with accurate explanations.

The solutions are clear and easy to understand.

Learning is quick as they are clearly written by subject experts to match the curriculum.

These important questions help in developing a good conceptual foundation for students.

These solutions are absolutely free and available in PDF format.

Conclusion 

Crucial Questions for Class 9 Mathematics Coordinate Geometry are essential and reputable sources of study material created for pupils in a well-structured and readily comprehensible style. It will assist pupils in properly comprehending the chapters. The pupils will get the understanding of the chapters required to solve the challenging issues in class. The crucial questions will assist students in covering all of the issues and scoring high marks.

FAQs on Important Questions for CBSE Class 9 Maths Chapter 3 - Coordinate Geometry

1. Which chapter is the most important in Class 9 Maths?

Chapter 3 of Class 9 Maths is about geometry which is the branch of Mathematics concerned with spatial connections among diverse things, individual object forms, and surrounding space characteristics. Class 9 is an important year for high school students since it is during this year that students lay the groundwork for all of the major topics and ideas covered in the Class 10 Board examinations. Students will learn how to identify points in a cartesian system or an XY plane in the chapter Coordinate Geometry. This notion is critical for determining the position of an object in a certain location.

2. How can I practise Chapter 3 of Class 9 Maths?

Geometry is the component of Mathematics that demands a comprehension of the topic as well as certain visualising abilities that students should work on to improve. Vedantu's Crucial Questions for Class 9 Mathematics Coordinate Geometry are valuable and trustworthy sources of study material supplied for students in a well-structured and easily understandable format. These vital questions are available for free on Vedantu (vedantu.com) and its mobile app. It will help pupils understand the chapters thoroughly. Students will get a grasp of the chapters needed to answer the difficult problems in class. The essential questions will help pupils cover all of the issues and achieve good grades.

3. What are case study questions in Class 9 Maths?

Case study questions in Class 9 Maths are the questions that introduce a particular scenario and its mathematical aspect and then proceeds to ask some questions that are relevant to the given chapter i.e. Coordinate Geometry in this case. Case study questions usually involve a real life-based situation where the questions check the students’ analytical ability to follow through and subsequently apply the Maths to it. They are extremely important as they carry a lot of marks and are really simple to get through.

4. How to plot a point?

To plot or graph points, we can use two perpendicular lines known as the x- and y-axes. The horizontal x-axis is parallel to the vertical y-axis. The positive x-axis is located to the right of the origin, while the negative x-axis is located to the left of the origin. Likewise, the positive y-axis is the part of the y-axis above the origin, and the negative y-axis is the part of the y-axis below the origin. Every point in the coordinate plane is defined by a given pair of x and y coordinates.

5. What is coordinate geometry?

Coordinate geometry is concerned with identifying points on a plane when the aligned values, known as coordinates for a certain point, are supplied. It introduces geometric concepts in Algebra and helps students to solve geometric problems. The origin is defined as the point at where the x-axis and y-axis connect. At this moment, both x and y are zero. To identify a point on the plane, a collection of two numbers is used.

CBSE Class 9 Maths Important Questions

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Coordinate Geometry Class 9 Extra Questions Maths Chapter 3 with Solutions Answers

September 5, 2020 by Prasanna

Here we are providing Coordinate Geometry Class 9 Extra Questions Maths Chapter 3 with Answers Solutions, Extra Questions for Class 9 Maths  was designed by subject expert teachers.

Extra Questions for Class 9 Maths Coordinate Geometry with Answers Solutions

Extra Questions for Class 9 Maths Chapter 3 Coordinate Geometry with Solutions Answers

Coordinate Geometry Class 9 Extra Questions Very Short Answer Type

Question 1. Write the signs convention of the coordinates of a point in the second quadrant. Solution: (-ve, +ve)

Question 2. Write the value of ordinate of all the points lie on x-axis. Solution: 0

Question 3. Write the value of abscissa of all the points lie on y-axis. Solution: 0

Question 4. If in coordinates of a point B(3, -2), signs of both coordinates are interchanged, then it will lie in which quadrant ? Solution: When signs of both coordinates of B(3, -2) are interchanged, then coordinates of new point are B'(-3, 2) and it will lie in second quadrant.

Question 5. Find distances of points C(-3, -2) and D(5, 2) from x-axis and y-axis. Solution: Distances of point C(-3, -2) from x-axis is 2 units in the negative direction and from y-axis is 3 units in the negative direction. Distances of point D(5, 2) from x-axis is 2 units and from y-axis is 5 units.

Question 6. Find the values of x and y, if two ordered pairs (x – 3, – 6) and (4, x + y) are equal. Solution: Here, two ordered pairs are equal. ⇒ Their first components are equal and their second components are separately equal. ⇒ x – 3 = 4 and x + y = -6 ⇒ x = 7 and 7 + y = -6 ⇒ y = – 13 Hence, x = 7 and y = – 13.

Question 7. In which quadrant does the point (-1, 2) lie ? Solution: (-1, 2) lie in second quadrant.

Question 8. Find the distance of the point (0, -5) from the origin. Solution: 5 units.

Coordinate Geometry Class 9 Extra Questions Short Answer Type 1

Coordinate Geometry Class 9 Extra Questions Short Answer Type 2

Question 1. Without plotting the points indicate the quadrant in which they lie, if : (i) ordinate is 5 and abscissa is – 3 (ii) abscissa is -5 and ordinate is – 3 (iii) abscissa is – 5 and ordinate is 3 (iv) ordinate is 5 and abscissa is 3 Solution: (i) Clearly, point (-3, 5) lies in 2nd quadrant. (ii) Clearly, point (-5, – 3) lies in 3rd quadrant. (ii) Clearly, point (-5, 3) lies in 2nd quadrant. (iv) Clearly, point (3, 5) lies in 1st quadrant.

Question 7. If the coordinates of a point M are (-2, 9) which can also be expressed as (1 + x, y) and y > 0, then find in which quadrant do the following points lie : Ply, x), Q(2, x), R(x, y − 1), S(2x, -3y). Solution: Here, M(-2, 9) can also be expressed as (1 + x, y 2 ) ∴ (1 + x, y 2 ) ⇔ (-2, 9) and y > 0 ⇒ 1 + x = -2 and y 2 = 9 ⇒ x = -3 and y = √9 = 3 (∵ y > 0) P (y, x) = P(3, -3), it lies in IV quadrant Q(2, x) = Q(2, -3), also lies in IV quadrant R(x 2 , y – 1) = R((-3) 2 , 3 – 1) = R(9, 2), it lies in I quadrant S(2x, -3y) = S(2 × (-3), -3 × 3) = S(-6, -9), it lies in III quadrant

Coordinate Geometry Class 9 Extra Questions HOTS

Coordinate Geometry Class 9 Extra Questions Value Based (VBQs)

Case Study Questions for Class 9 Maths

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Are you preparing for your Class 9 Maths board exams and looking for an effective study resource? Well, you’re in luck! In this article, we will provide you with a collection of Case Study Questions for Class 9 Maths specifically designed to help you excel in your exams. These questions are carefully curated to cover various mathematical concepts and problem-solving techniques. So, let’s dive in and explore these valuable resources that will enhance your preparation and boost your confidence.

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CBSE Class 9 Maths Board Exam will have a set of questions based on case studies in the form of MCQs. The CBSE Class 9 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends.

If you want to want to prepare all the tough, tricky & difficult questions for your upcoming exams, this is where you should hang out.  CBSE Case Study Questions for Class 9  will provide you with detailed, latest, comprehensive & confidence-inspiring solutions to the maximum number of Case Study Questions covering all the topics from your  NCERT Text Books !

Table of Contents

CBSE Class 9th – MATHS: Chapterwise Case Study Question & Solution

Case study questions are a form of examination where students are presented with real-life scenarios that require the application of mathematical concepts to arrive at a solution. These questions are designed to assess students’ problem-solving abilities, critical thinking skills, and understanding of mathematical concepts in practical contexts.

Chapterwise Case Study Questions for Class 9 Maths

Case study questions play a crucial role in the field of mathematics education. They provide students with an opportunity to apply theoretical knowledge to real-world situations, thereby enhancing their comprehension of mathematical concepts. By engaging with case study questions, students develop the ability to analyze complex problems, make connections between different mathematical concepts, and formulate effective problem-solving strategies.

• Case Study Questions for Chapter 1 Number System
• Case Study Questions for Chapter 2 Polynomials
• Case Study Questions for Chapter 3 Coordinate Geometry
• Case Study Questions for Chapter 4 Linear Equations in Two Variables
• Case Study Questions for Chapter 5 Introduction to Euclid’s Geometry
• Case Study Questions for Chapter 6 Lines and Angles
• Case Study Questions for Chapter 7 Triangles
• Case Study Questions for Chapter 8 Quadilaterals
• Case Study Questions for Chapter 9 Areas of Parallelograms and Triangles
• Case Study Questions for Chapter 10 Circles
• Case Study Questions for Chapter 11 Constructions
• Case Study Questions for Chapter 12 Heron’s Formula
• Case Study Questions for Chapter 13 Surface Area and Volumes
• Case Study Questions for Chapter 14 Statistics
• Case Study Questions for Chapter 15 Probability

The above  Case studies for Class 9 Mathematics will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 9 Maths Case Studies have been developed by experienced teachers of schools.studyrate.in for benefit of Class 10 students.

• Class 9 Science Case Study Questions
• Class 9 Social Science Case Study Questions

How to Approach Case Study Questions

When tackling case study questions, it is essential to adopt a systematic approach. Here are some steps to help you approach and solve these types of questions effectively:

• Read the case study carefully: Understand the given scenario and identify the key information.
• Identify the mathematical concepts involved: Determine the relevant mathematical concepts and formulas applicable to the problem.
• Formulate a plan: Devise a plan or strategy to solve the problem based on the given information and mathematical concepts.
• Solve the problem step by step: Apply the chosen approach and perform calculations or manipulations to arrive at the solution.
• Verify and interpret the results: Ensure the solution aligns with the initial problem and interpret the findings in the context of the case study.

Tips for Solving Case Study Questions

Here are some valuable tips to help you effectively solve case study questions:

• Read the question thoroughly and underline or highlight important information.
• Break down the problem into smaller, manageable parts.
• Visualize the problem using diagrams or charts if applicable.
• Use appropriate mathematical formulas and concepts to solve the problem.
• Show all the steps of your calculations to ensure clarity.
• Check your final answer and review the solution for accuracy and relevance to the case study.

Benefits of Practicing Case Study Questions

Practicing case study questions offers several benefits that can significantly contribute to your mathematical proficiency:

• Enhances critical thinking skills
• Improves problem-solving abilities
• Deepens understanding of mathematical concepts
• Develops analytical reasoning
• Prepares you for real-life applications of mathematics
• Boosts confidence in approaching complex mathematical problems

Case study questions offer a unique opportunity to apply mathematical knowledge in practical scenarios. By practicing these questions, you can enhance your problem-solving abilities, develop a deeper understanding of mathematical concepts, and boost your confidence for the Class 9 Maths board exams. Remember to approach each question systematically, apply the relevant concepts, and review your solutions for accuracy. Access the PDF resource provided to access a wealth of case study questions and further elevate your preparation.

Q1: Can case study questions help me score better in my Class 9 Maths exams?

Yes, practicing case study questions can significantly improve your problem-solving skills and boost your performance in exams. These questions offer a practical approach to understanding mathematical concepts and their real-life applications.

Q2: Are the case study questions in the PDF resource relevant to the Class 9 Maths syllabus?

Absolutely! The PDF resource contains case study questions that align with the Class 9 Maths syllabus. They cover various topics and concepts included in the curriculum, ensuring comprehensive preparation.

Q3: Are the solutions provided for the case study questions in the PDF resource?

Yes, the PDF resource includes solutions for each case study question. You can refer to these solutions to validate your answers and gain a better understanding of the problem-solving process.

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NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.1 are part of NCERT Solutions for Class 9 Maths . Here we have given NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.1.

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.1

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry (निर्देशांक ज्यामिति) (Hindi Medium) Ex 3.1

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.2

Ex 3.2 Class 9 Maths   Question 1 Write the answer of each of the following questions: (i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane? (ii) What is the name of each part of the plane formed by these two lines? (iii) Write the name of the point where these two lines intersect. Solution: (i) The horizontal line: x – axis and the vertical line: y – axis. (ii) Each part is called “Quadrant”. (iii) Origin

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.3

NCERT Solutions for Class 9 Maths

• Chapter 1 Number systems
• Chapter 2 Polynomials
• Chapter 3 Coordinate Geometry
• Chapter 4 Linear Equations in Two Variables
• Chapter 5 Introduction to Euclid Geometry
• Chapter 6 Lines and Angles
• Chapter 7 Triangles
• Chapter 8 Quadrilaterals
• Chapter 9 Areas of Parallelograms and Triangles
• Chapter 10 Circles
• Chapter 11 Constructions
• Chapter 12 Heron’s Formula
• Chapter 13 Surface Areas and Volumes
• Chapter 14 Statistics
• Chapter 15 Probability
• Class 9 Maths (Download PDF)

We hope the NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.1, help you. If you have any query regarding NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.1, drop a comment below and we will get back to you at the earliest.

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CBSE Case Study Questions Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry PDF Download

Case Study Questions Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry  is very important to solve for your exam. Class 9 Maths Chapter 5 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving  case study-based   questions for Class 9 Maths Chapter 5  Introduction to Euclid’s Geometry

CBSE Case Study Questions for Class 9 Maths Euclids Geometry PDF

Case study questions class 9 maths chapter 5.

Case Study 1: In a mathematics class, students were learning about Euclid’s Geometry and the properties of lines and angles. The teacher drew the following figure on the board:

Using this figure, the teacher presented some statements and asked the students to determine whether they were true or false. Let’s see how well you can answer these questions:

Q1. In triangle ABC, if AB = AC, then the triangle is: (a) Equilateral (b) Isosceles (c) Scalene (d) Right-angled

Answer: (b) Isosceles

Q2. If lines AB and AC are perpendicular to each other, then the measure of angle BAC is: (a) 45 degrees (b) 90 degrees (c) 180 degrees (d) It cannot be determined

Answer: (b) 90 degrees

Q3. In triangle ABC, if angle B = angle C, then the triangle is: (a) Equilateral (b) Isosceles (c) Scalene (d) Right-angled

Q4. In triangle ABC, if angle B = angle C = 60 degrees, then the triangle is: (a) Equilateral (b) Isosceles (c) Scalene (d) Right-angled

Answer: (a) Equilateral

Q5. In triangle ABC, if AB = BC, then the triangle is: (a) Equilateral (b) Isosceles (c) Scalene (d) Right-angled

Case Study 2. A group of students is studying geometrical shapes and their properties. They came across the following figure:

The students were given statements related to this figure and were asked to determine whether they were true or false. Let’s see if you can answer these questions:

Q1. In the given figure, line segment AB is perpendicular to line segment CD. True or False?

Answer: (b) False

Q2. In the given figure, angle CAB is supplementary to angle BCD. True or False?

Q3. In the given figure, angle CAD is complementary to angle BCD. True or False?

Q4. In the given figure, line segments AC and BD are parallel. True or False?

Answer: (a) True

Q5. In the given figure, angle CAD is equal to angle CDB. True or False?

Case Study 3. A group of students was learning about the properties of quadrilaterals. The teacher presented them with the following figure:

The teacher then asked the students to identify the type of quadrilateral based on its properties. Let’s see if you can answer the questions correctly:

Q1. In the given figure, if all four sides of the quadrilateral ABCD are equal, then it is a: (a) Rectangle (b) Rhombus (c) Square (d) Parallelogram

Answer: (b) Rhombus

Q2. In the given figure, if opposite sides of the quadrilateral ABCD are parallel, then it is a: (a) Rectangle (b) Rhombus (c) Square (d) Parallelogram

Answer: (d) Parallelogram

Q3. In the given figure, if opposite angles of the quadrilateral ABCD are equal, then it is a: (a) Rectangle (b) Rhombus (c) Square (d) Parallelogram

Q4. In the given figure, if all four angles of the quadrilateral ABCD are right angles, then it is a: (a) Rectangle (b) Rhombus (c) Square (d) Parallelogram

Answer: (a) Rectangle

Q5. In the given figure, if all four sides of the quadrilateral ABCD are equal and all four angles are right angles, then it is a: (a) Rectangle (b) Rhombus (c) Square (d) Parallelogram

Answer: (c) Square

Hope the information shed above regarding Case Study and Passage Based Questions for Case Study Questions Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry with Answers Pdf free download has been useful to an extent. If you have any other queries about Case Study Questions Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry and Passage-Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible.

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Test: Coordinate Geometry- Case Based Type Questions - Grade 9 MCQ

10 questions mcq test - test: coordinate geometry- case based type questions, five friends playing a game in which they are standing at different positions, p, s, t, r and rohan is watching them playing. few questions came to rohan's mind while watching the game. give answer to his questions by looking at the figure. q. name the point whose y-co-ordinate is zero :.

Five friends playing a game in which they are standing at different positions, P, S, T, R and Rohan is watching them playing. Few questions came to Rohan's mind while watching the game. Give answer to his questions by looking at the figure. Q. Name the point lying in the third quadrant.

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Five friends playing a game in which they are standing at different positions, P, S, T, R and Rohan is watching them playing. Few questions came to Rohan's mind while watching the game. Give answer to his questions by looking at the figure. Q. What are the coordinates of P?

• A. (– 1, 1)
• B. (1, – 1)
• D. (– 1, – 1)

Five friends playing a game in which they are standing at different positions, P, S, T, R and

Rohan is watching them playing. Few questions came to Rohan's mind while watching the game. Give answer to his questions by looking at the figure.

Q. Name the polygon formed on joining all these points .

Quadrilateral

Pentagon (5 sided polygon).

Rohan is watching them playing. Few questions came to Rohan's mind while watching the game. Give answer to his questions by looking at the figure.

Q. (x, y) = (y, x), if :

Also, (x, y) = (y, x), if x = y

Sohan draws a gate of a temple on the graph paper. He has following points :

(– 1, 0), (1, 0), (1, 1), (– 1, 1) and (0, 2)

Q. In which quadrant (– 1, 1) lies ?

1 st quadrant

2 nd quadrant

3 rd quadrant

4 th quadrant

In 2 nd quadrant, x-co-ordinate is negative and y-coordinate is positive.

(– 1, 0), (1, 0), (1, 1), (– 1, 1) and (0, 2)

Q. Write the abscissa of the point (0, 2).

Q. Name the closed figure obtained.

• A. Triangle
• B. Quadrilateral
• C. Pentagon

Q. Write the ordinate of the point (1, 0).

Q. Which point from the following lies on Y-axis ?

• D. (– 1, 1)

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Important Questions for Coordinate Geometry- Case Based Type Questions

Coordinate geometry- case based type questions mcqs with answers, online tests for coordinate geometry- case based type questions.

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Category: Case Study Questions for Class 9 Maths

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Case Study Questions for Class 9 Maths Chapter 12 Herons Formula

Case study questions for class 9 maths chapter 9 areas of parallelograms and triangles, case study questions for class 9 maths chapter 6 lines and angles, case study questions for class 9 maths chapter 7 triangles, case study questions for class 9 maths chapter 5 introduction to euclid’s geometry, case study and passage based questions for class 9 maths chapter 14 statistics, case study questions for class 9 maths chapter 1 real numbers, case study questions for class 9 maths chapter 4 linear equations in two variables, case study questions for class 9 maths chapter 3 coordinate geometry, case study questions for class 9 maths chapter 15 probability, case study questions for class 9 maths chapter 13 surface area and volume, case study questions for class 9 maths chapter 10 circles, case study questions for class 9 maths chapter 9 quadrilaterals, case study questions for class 9 maths chapter 2 polynomials.

Editable Study Materials for Your Institute - CBSE, ICSE, State Boards (Maharashtra & Karnataka), JEE, NEET, FOUNDATION, OLYMPIADS, PPTs

• CBSE Class 10

CBSE Class 10 Maths Competency-Based Questions With Answer Key 2024-25: Chapter 6 Triangles Free PDF Download

Cbse class 10 maths chapter 6 practice questions 2025: students check and download the cbse class 10 chapter 6 triangles competency-focused practice questions along with answer key for 2024-25. .

CBSE 2024-25 Competency Based Questions With Answers: The Central Board of Secondary Education (CBSE) has designed and released the competency‐focused practice questions for students of classes 10 and 12. Students can practice questions ranging from multiple choice questions to case studies. CBSE has made available the practice questions on its website, cbse.academic.nic.in. This article covers the CBSE Class 10 Maths Chapter 6 Triangles competency-focused questions. 

These assessments contain high quality questions and concepts that are important for learning. When students will solve the competency-based questions, they will engage in learning by doing. The questions are designed to test the understanding of students and remove any gaps that may exist in the learning process. Competency-based practice questions follow the principle of learning with understanding. 

CBSE Class 10 Maths Chapter 6 Competency Based-Questions 

Give an example each for when two rectangles are:

A painted cuboid, Solid P, is cut along a plane to get two identical solids. One of the identical solids, Solid Q, is shown below.

Shown below is an isosceles right-angled ΔPQR. The area of ΔPQR is 18 cm2.

Shown below is a figure. ΔPQR is a right-angled triangle. There are 3 semicircles with diameters as sides of ΔPQR. All length measurements are in cm.

Shown below is a figure with two rectangles. The ratio of UV:VW = QR:RS = 3:4. Area of TUVW is 36 cm2.

i) Two chords of a circle, PQ and MN intersect at a point T. Show that PT × TQ = MT × TN. Draw a figure.

In the figure below, P, Q and R are collinear. P and Q are centres of the two circles. P lies on the circumference of the circle with centre Q. R is 10 cm from Q and 15 cm from P. Both circles have 2 common tangents from point R.

Tanmay had hit a numbered ball into pocket P. The path followed by the cue ball and ball 8 is shown below. The cue ball's initial distance from the edges of the table is marked in the figure.

Shown below is the path when Tanmay hits a ball number 1 in pocket S. The distance CT is 50 cm and TS is 120 cm. The cue ball hits the side PQ at an angle of 45°.

Tips to Prepare for CBSE Class 10 Mathematics Examination

1. Students must first familiarize themselves with the syllabus so as to understand which topics carry more weightage. Ensure that you prepare according to the latest syllabus only. 

2. Mathematics is a subject that demands regular practice. It is important that students practice as much as they can. Practice the questions given at the end of each chapter. Note the points where you get stuck during solving questions. 

3. Students should prepare an effective study plan and give time to all topics on the basis of their strengths and weaknesses. Don’t let your bias towards your favourite chapter affect the time-table. The schedule should also have time for revision. 

4. Students should solve the problems from CBSE Class 10 subject textbook to clear the concepts and strengthen understanding. While solving problems, students should make it a habit to show rough work clearly which will help them in the examination as well. 

CBSE Video Courses for Class 10 Students 

Class 10 students can study effectively for the exams with the help of video courses prepared by the subject matter experts. These video courses will explain the concepts in a simple and interactive manner which will help learners to understand clearly. 

CBSE Class 10 Video Courses 

Also, check

CBSE Class 10 Syllabus 2024-25: Download Latest and Revised FREE PDFs

NCERT Books for Class 10 All Subjects PDF (2024-25)

NCERT Solutions for Class 10 (2024-2025) All Subjects & Chapters: Download in PDF

CBSE Class 10 Maths Mind Maps for Quick Revision

CBSE Class 10 Maths MCQs: Important for 2024-2025 Exams, Download Chapter-Wise PDF

Pythagoras Theorem: Definition, Formula, Proof, Examples and Applications

Polynomial Equations: Concepts, Definition, Formula and Types

Relations and Functions

Probability Notes: Definition, Types, Formulas, Applications and More

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