CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set 01

Chapter-wise Worksheets for Class 10 Mathematics: Chapter 07 Coordinate Geometry

Access comprehensive chapter-wise worksheets for Chapter 07 Coordinate Geometry using the CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set 01. Designed to align with the 2026-27 academic syllabus for Class 10 Mathematics, these printable practice sets help students reinforce key concepts and improve their overall exam readiness.

Practice Class 10 Mathematics Worksheets: Chapter 07 Coordinate Geometry

Access the complete worksheet PDF for Class 10 Mathematics below. Regular practice with these targeted academic tasks builds familiarity with standard question patterns and helps secure higher marks in final school examinations.

Coordinate Geometry MCQ Questions with Answers Class 10 

Question- The points (k - 1, k + 2), (k, k + 1), (k + 1, k) are collinear for
(1) any value of k
(2) k = -1/2 only
(3) no value of k
(4) integral values of k only
Ans- 1
 
Question- The area of the triangle formed by the points (k, 2 - 2k), (- k + 1, 2k) and (- 4 - k, 6 - 2 k) is 70 units. For
(1) four real values of k
(2) no integral value of k
(3) two integral values of k
(4) only one integral value of k
Ans-4 
 
Question- The quadrilateral ABCD formed by the points A (0, 0), B (3, 4), C (7, 7) and D (4, 3) is a
(1) rectangle
(2) square
(3) rhombus
(4) parallelogram
Ans- 3
 
Question- The following points A(-1, 0), B(3,1), C(2,2) and D(-2,1) taken in order form a
(1) rectangle
(2) parallelogram
(3) square
(4) None
Ans- 2
 
Question- Find the value of k, if the distance between the points (1,4) and (k, 1) is 5.
(1) 3 or 5
(2) - 3 or 5
(3) 3 or - 5
(4) None
Ans- 2
 
Question- The mid points of the sides AB and AC of a triangle ABC are (2, -1) and (- 4, 7) respectively, then the length of BC is
(1) 10
(2) 20
(3) 25
(4) 30
Ans- 2
 
Question- The extremities of a diagonal of a parallelogram are the points (3, - 4) and (-6, 5). If third vertex is (-2, 1) then the coordinates of the fourth vertex are
(1) (1, 0)
(2) (0, 0)
(3) (1, 1)
(4) None
Ans- 4
 
Question- The number of lines that can be drawn through the point (4, - 5) at a distance 12 from the point (-2, 3) is
(1) 0
(2) 1
(3) 2
(4) Infinite
Ans- 1
 
Question- ABCD is a quadrilateral. P (3, 7) and Q (7, 3) are the middle points of the diagonals AC and BD respectively.The coordinates of the mean point (or the centre of mean position) of the vertices of the quadrilateral are
(1) (0, 0)
(2) (3, 3)
(3) (5, 5)
(4) (7, 7)
Ans- 3

Question- One diagonal of a square is the portion of the line 3x + 2y = 12 intercepted between the axes. The coordinates of the extremity of the other diagonals not lying in the first quadrant are

(1) (1, -1)
(2) (- 1, -1)
(3) (-1, 1)
(4) none of these
Ans- 3

Question- ABCD is a square in which A lies on the positive y-axis and B lies on the positive x-axis. If D is the point (12, 17), the coordinates of C are

(1) (17 , 12)
(2) (17 , 5)
(3) (14 , 16)
(4) (15, 3)
Ans-2 

Question- The points (0, 8/3), (1, 3) and (82, 30) are the vertices of

(1) obtuse angled triangle
(2) acute angled triangle
(3) right angled triangle
(4) none of these
Ans- 4

Question- A ray of light coming from the point (1, 2) is reflected at a point A on the axis of x and then passes through the point (5, 3). The coordinates of the point A are

(1) (5/13, 0)
(2) (-7, 0)(3)
(13/5, 0)
(4) (15, 0)
Ans-3 

Question- The centroid of a triangle lies at the origin and the coordinates of its two vertices are (- 8, 0) and (9, 11), the area of the triangle in sq. units is

(1) 11 / 8
(2) 8/11
(3) 88
(4) None
Ans-4 

Question- Line formed by joining (-1, 1) and (5,7) is divided by a line x + y = 4 in the ratio of

(1) 1 : 2
(2) 1 : 3
(3) 3 : 4
(4) 1 : 4
Ans- 1
 
Question- Which of the following is TRUE regarding the graphs of the equations of a linear quadratic sys- tem ?
(1) the graphs may intersect in two locations
(2) the graphs may intersect in one location
(3) the graphs may not intersect
(4) all three choice are true
Ans- 4
 
Question- The midpoints of sides of a triangle are (3, 4), (4,1) and (2, 0). Which of the following does not denote the co-ordinates of its vertices ?
(1) 1, 3
(2) 5, 3
(3) 5, 5
(4) 3, -3
Ans- 2
 
Question- The point which lies on the perpendicular bisector of the line sequence joining the points P(-2, 0) and Q(2, 5) is :-
(1) (0, 0)
(2) (0, 2)
(3) (2, 0)
(4) (-2, 0)
Ans-1 
 
Question- The centroid of a triangle formed by (7, p), (q, -6),(9, 10) is (6, 3), then (p, q) =
(1) (4, 5)
(2) (5, 4)
(3) (-5, -2)
(4) (5, 2)
Ans- 4

Question- Mid-points of the sides AB and AC of DABC are (3, 5) and (-3, -3) respectively, then the length of BC =

(1) 10
(2) 15
(3) 20
(4) 30
Ans- 3
 
Question- A postman walks towards North a distance of 120 m to deliver a letter. He then goes towards East for a distance of 50 m for delivering another letter. The shortest distance between the two places is
(1) 70 m
(2) 120 m
(3) 130 m
(4) 170 m
Ans-3 
 
 
Very Short Answer type Questions

Question. Find the value of y for which the distance between the points (2, - 3) and (10,y) is 10 units.
Answer : y = -9 or y = 3

Question. Find the distance of the point (- 4, -7) from the y -axis.
Answer : 4 units

Question. If (2, p) is the midpoint of the line segment joining the points A (6, -5) and B (-2, 11), find the value of p.
Answer : p = 3

Question. If the centre and radius of circle is (3, 4) and 7 units respectively, then what is the position of the point AB with respect to circle.
Answer : Inside the circle

Question. Find the ratio in which the point (-3, k) divides the line-segment joining the points (-5, 4) and (-2, 3). Also find the value of k.
Answer : Ratio is 2 : 1 & k = 2/3

Question. Write the coordinates of a point on x-axis which is equidistant from the points (-3, 4) and (2, 5).
Answer : (2/5 , 0)

Question. To locate a point Q on line segment AB such that BQ = 5/7 × AB. What is the ratio of line segment in which AB is divided?
Answer : 2 : 5

Question. If the distance between the points (4, k) and (1, 0) is 5, then what will be the possible values of k?
Answer : 𝑘=±4

Question. Find a relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5).
Answer : x - y = 2

Question. ABCD is a rectangle whose three vertices are B (4, 0), C (4, 3) and D (0, 3). Find the length of one of its diagonals
Answer : BD = 5

Please refer to attached file for CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A

Free study material for Mathematics

Download Class 10 Mathematics Chapter 07 Coordinate Geometry Practice Worksheets

Daily Practice Questions for Class 10 Mathematics

Access structured practice worksheets for Chapter 07 Coordinate Geometry aligned with the 2026 CBSE curriculum. These downloadable exercises for Class 10 Mathematics help students build accuracy and reinforce core concepts for upcoming school tests.

Detailed Answers for Class 10 Mathematics Chapter 07 Coordinate Geometry

Each worksheet draws directly from authorized standard textbooks to maintain academic accuracy. Evaluating your finished exercises against expert-verified solutions helps master the formal presentation standards expected in school evaluations.

Complete Your Chapter Revision

Follow up your worksheet practice by attempting the interactive online MCQ tests for Chapter 07 Coordinate Geometry to evaluate your execution speed. All printable assignments and revision sheets on our platform are updated for the 2026 session and available free of charge.

FAQs

Where can I download the 2026-27 CBSE printable worksheets for Class 10 Mathematics Chapter 07 Coordinate Geometry?

You can download the latest chapter-wise printable worksheets for Class 10 Mathematics Chapter 07 Coordinate Geometry for free from StudiesToday.com. These have been made as per the latest CBSE curriculum for this academic year.

Are these Chapter 07 Coordinate Geometry Mathematics worksheets based on the new competency-based education (CBE) model?

Yes, Class 10 Mathematics worksheets for Chapter 07 Coordinate Geometry focus on activity-based learning and also competency-style questions. This helps students to apply theoretical knowledge to practical scenarios.

Do the Class 10 Mathematics Chapter 07 Coordinate Geometry worksheets have answers?

Yes, we have provided solved worksheets for Class 10 Mathematics Chapter 07 Coordinate Geometry to help students verify their answers instantly.

Can I print these Chapter 07 Coordinate Geometry Mathematics test sheets?

Yes, our Class 10 Mathematics test sheets are mobile-friendly PDFs and can be printed by teachers for classroom.

What is the benefit of solving chapter-wise worksheets for Mathematics Class 10 Chapter 07 Coordinate Geometry?

For Chapter 07 Coordinate Geometry, regular practice with our worksheets will improve question-handling speed and help students understand all technical terms and diagrams.