Access the latest CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A. We have provided free printable Class 10 Mathematics worksheets in PDF format, specifically designed for Chapter 7 Coordinate Geometry. These practice sets are prepared by expert teachers following the 2025-26 syllabus and exam patterns issued by CBSE, NCERT, and KVS.
Chapter 7 Coordinate Geometry Mathematics Practice Worksheet for Class 10
Students should use these Class 10 Mathematics chapter-wise worksheets for daily practice to improve their conceptual understanding. This detailed test papers include important questions and solutions for Chapter 7 Coordinate Geometry, to help you prepare for school tests and final examination. Regular practice of these Class 10 Mathematics questions will help improve your problem-solving speed and exam accuracy for the 2026 session.
Download Class 10 Mathematics Chapter 7 Coordinate Geometry Worksheet PDF
(B) perpendicular to each other
(C) neither parallel nor perpendicular to each other
(D) none of these
2. The lines, x = –2 and y = 3 intersect at the point ________.
(A) (-2,3)
3. The slope of the line joining the points (2, k – 3) and (4,-7) is 3. Find k.
(A) -10
4. The centre of a circle is C(2,-3) and one end of the diameter AB is A(3,5) . Find the coordinates of the other end B.
(A) (1,-11)
5. The points on X-axis which are at a distance of 13 units from (-2,3) is ________.
6. The point P lying in the fourth quadrant which is at a distance of 4 units from X-axis and 3 units from Y-axis is__________.
(A) (4,-3)
7. The points (a,b +c), (b,c +a) and (c,a + b)
(A) are collinear
(C) form an equilateral triangle
8. Find λ , if the line 3x - λy +6 = 0 passes through the point (–3,4).
(A) 3/4
(B) -3 /4
(C) 4/3
(D) -4/3
9. If A(-2,3) and B(2,3) are two vertices of △ABCand G(0, 0) is its centroid, then the coordinates of C are
(A) (0,-6)
10. Let △ABCbe a right angled triangle in which A(0, 2) and B(2, 0). Then the coordinates of C can be
(A) (0, 0)
11. Find the area of the triangle formed by the line 5x -3y +15 = 0with coordinate axes.
(A) 15cm2
(A) 6
13. The distance between the points (2k + 4, 5k) and (2k, –3 + 5k) in units is
(A) 1
14. The distance between the points (3k + 1, –3k) and (3k – 2, –4 –3k) (in units) is
(A) 3k
15. If △ABCis a right angled triangle in which A(3, 0) and B(0, 5), then the coordinates of C can be
(A) (5, 3)
16. A triangle is formed by the lines x + y = 8,X-axis and Y-axis. Find its centroid.
(A) (8/3 ,8/3)
(B) (8, 8)
17. The point which divides the line joining the points A(1, 2) and B(–1, 1) internally in the ratio 1 : 2 is _________.
(A) (1/3,5/3)
(B) (1/3,5/3)
(C) (–1, 5)
18. Find the area of the triangle formed by the line 3x -4y +12 = 0with the coordinate axes.
(A) 6 units2
19. Find the equation of a line which divides the line segment joining the points (1, 1) and (2, 3) in the ratio 2 : 3 perpendicularly,
(A) 5x - 5y + 2 = 0
(C) x + 2y -5 = 0
20. The ratio in which the line joining (a + b, b + a) and (a – b, b – a) is divided by the point (a, b) is___________.
(A) b : a internally
21. If the line (3x -8y+5)+a(5x -3y +10) = 0 is parallel to X-axis, then a is
(A) -8/3
(B)- 3/5
(C) –2
22. Find the area of a triangle formed by the lines 4x - y-8 = 0,2x + y-10 = 0 and y = 0 (in sq units).
(A) 5
23. Find the length of the longest side of the triangle formed by the line 3x + 4y =12with the coordinate axes.
(A) 9
24. In what ratio does the line 4x +3y +13 = 0 divide the line segment joining the points (2, 1) and (1, 4)?
(A) 3 : 2 internally
(B) 2 : 3 externally
(C) 2 : 3 internally
(D) 3 : 2 externally
Answer : (C)
25. If (5, 3), (4, 2) and (1, –2) are the mid points of sides of triangle ABC, then the area of △ABCis
(A) 2 sq. units
(B) 3 sq. units
(C) 1 sq. units
(D) 4 sq. units
Answer : (A)
26. The ratio in which the line joining (1, 3) an (2, 7) is divided by 3x + y = 9 is
(A) 3 : 4
(B) 2 : 4
(C) 1 : 2
(D) 3 : 1
Answer : (A)
27. The point equidistant from vertices of a triangle is called
(A) circumcentre
(B) incentre
(C) orthocenter
(D) none of these
Answer : (A)
28. The distance between the points (3, 4) and (6, –3) is.
(A) √58
(B) √68
(C) √78
(D) √98
Answer : (A)
29. If A and B are (1, 4) and (5, 2) respectively, then the co-ordinates of P when AP/PB = 3/4 is
(A) 19/7 , 22 /7
(B) 20/7 , 21/7
(C) 21/7 , 22/7
(D) 21/7 , 23/7
Answer : (A)
30. If the coordinates of the mid-points of the sides of a triangle are (1, 2) (0, –1) and (2, –1). Then the sum of x coordinates of its vertices of the triangle is
(A) 3
(B) 4
(C) 5
(D) 6
Answer : (A)
Please click on below link to download CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A
| CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A |
| CBSE Class 10 Maths Probabilty Worksheet |
Important Practice Resources for Class 10 Mathematics
Chapter 7 Coordinate Geometry CBSE Class 10 Mathematics Worksheet
Students can use the Chapter 7 Coordinate Geometry practice sheet provided above to prepare for their upcoming school tests. This solved questions and answers follow the latest CBSE syllabus for Class 10 Mathematics. You can easily download the PDF format and solve these questions every day to improve your marks. Our expert teachers have made these from the most important topics that are always asked in your exams to help you get more marks in exams.
NCERT Based Questions and Solutions for Chapter 7 Coordinate Geometry
Our expert team has used the official NCERT book for Class 10 Mathematics to create this practice material for students. After solving the questions our teachers have also suggested to study the NCERT solutions which will help you to understand the best way to solve problems in Mathematics. You can get all this study material for free on studiestoday.com.
Extra Practice for Mathematics
To get the best results in Class 10, students should try the Mathematics MCQ Test for this chapter. We have also provided printable assignments for Class 10 Mathematics on our website. Regular practice will help you feel more confident and get higher marks in CBSE examinations.
You can download the teacher-verified PDF for CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A from StudiesToday.com. These practice sheets for Class 10 Mathematics are designed as per the latest CBSE academic session.
Yes, our CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A includes a variety of questions like Case-based studies, Assertion-Reasoning, and MCQs as per the 50% competency-based weightage in the latest curriculum for Class 10.
Yes, we have provided detailed solutions for CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A to help Class 10 and follow the official CBSE marking scheme.
Daily practice with these Mathematics worksheets helps in identifying understanding gaps. It also improves question solving speed and ensures that Class 10 students get more marks in CBSE exams.
All our Class 10 Mathematics practice test papers and worksheets are available for free download in mobile-friendly PDF format. You can access CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A without any registration.