CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A

Read and download free pdf of CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 7 Coordinate Geometry Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern

Chapter 7 Coordinate Geometry Mathematics Worksheet for Class 10

Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks

Class 10 Mathematics Chapter 7 Coordinate Geometry Worksheet Pdf

 

COORDINATE GEOMETRY
1 Prove that the points A(6, 2), B(2, 1), C(1, 5) and D(5, 6) are the vertices of a square.
 
2 Prove that the points A(2, -2 ), B(14, 10), C(11, 13) and D(-1, 1) are the vertices of a rectangle.
 
3 Prove that the points (7, 10),(- 2, 5) and (3, - 4) are the vertices of an isosceles right triangle.
 
4 Prove that the points (0, 0), (5, 5) and (-5, 5) are the vertices of an isosceles right triangle
 
5 Find the ratio in which the line segment joining the points A(3, - 3) and B(- 2, 7) is divided by x axis. Also find the co-ordinates of the point of division.
Ans (3/2 , 0)
 
6 Find the ratio in which the line segment joining the points A(-4, 5) and B(- 3, 7) is divided by y axis. Also find the co-ordinates of the point of division. (Ans: 4 : 3)
 
7 Find the area of the quadrilateral ABCD, the co-ordinates of whose vertices are A(5, -2), B(-3, -1), C(2, 1) & D (6, 0)
(Ans: 15 sq units)
 
8 Find the area of the quadrilateral ABCD, the co-ordinates of whose vertices are A(1, 0), B(5, 3), C(2, 7) & D (-2, 4)
(Ans: 25 sq units)
 
9 For what values of k are the points (8, 1), (3, -2k), and (k, -5) collinear?
(Ans 2,11/2)
 
10 Find the values of k so that the area of the triangle with vertices (1, - 1), (- 4, 2k) and (-k, -5) is 24 sq units.
(Ans: k = 3, -9/2)
 
11 For what values of k are the points (7, -2), (5, 1), and (3, 2k) collinear?
(Ans: k = 2)
 
12 Find the value(s) of k so that the area of the triangle with vertices (1, k), (4, -3) and (-9, 7) is 15 sq units.
(Ans: k = -3, 21/13)
 
13 Three consecutive vertices of a parallelogram are (-2, -1), (1, 0) and (4, 3). Find the fourth vertex.
(Ans: (1,2))
 
14 If (1, 2). (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, then find x and y.
(Ans: x = 6, y = 3)
 
15 Three consecutive vertices of a parallelogram are (2, -1), (3, 4) and (-2, 3). Find the fourth vertex.
(Ans: (-1,-2))
 
 
 
More MCQs for NCERT Class 10 Mathematics Coordinate Geometry....
 
 
1. The lines, x = 2 and y = 3 are
 
(A) parallel to each other

(B) perpendicular to each other

(C) neither parallel nor perpendicular to each other

(D) none of these
 
Answer : (B)
 

2. The lines, x = –2 and y = 3 intersect at the point ________.
(A) (-2,3) 
 
(B) (2,-3) 
 
(C) (3,-2) 
 
(D) (-3,2)
 
Answer :  (A)
 

3. The slope of the line joining the points (2, k – 3) and (4,-7) is 3. Find k.
(A) -10 
 
(B) -6 
 
(C) -2 
 
(D) 10
 
Answer : (A)  
 

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) 
 
(B) (5,2) 
 
(C) (1,8) 
 
(D) none of these
 
Answer :   (B)
 

5. The points on X-axis which are at a distance of 13 units from (-2,3) is ________.
(A) (0,0), (-2,-3) 
 
(B) (0,0), (-4,0) 
 
(C) (0,0), (2,3) 
 
(D) none of these
 
Answer : (B)  
 

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) 
 
(B) (4,3) 
 
(C) (3,-4) 
 
(D) (-3,4)
 
Answer : (C) 
 

7. The points (a,b +c), (b,c +a) and (c,a + b)
(A) are collinear
 
(B) form a scalene triangle

(C) form an equilateral triangle 
 
(D) none of these
 
Answer : (A)  
 

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
 
Answer :  (B)
 

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) 
 
(B) (-4,0) 
 
(C) (4,0) 
 
(D) (0,6)
 
Answer : (A)  
 

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)
 
(B) (2, 2) 
 
(C) either (A) or (B) 
 
(D) none of these
 
Answer : (C)  
 

11. Find the area of the triangle formed by the line 5x -3y +15 = 0with coordinate axes.
(A) 15cm2 
 
(B) 5 cm2 
 
(C) 8 cm2 
 
(D) 15/2cm 2
 
Answer : (D)  
 
 
12. The centre of a circle is C(2, k). If A(2, 1) and B(5, 2) are two points on its circumference, then the value of k is
(A) 6 
 
(B) 2 
 
(C) –6 
 
(D) –2
 
Answer : (A)  
 

13. The distance between the points (2k + 4, 5k) and (2k, –3 + 5k) in units is
(A) 1 
 
(B) 2 
 
(C) 4 
 
(D) 5
 
Answer : (D)  
 

14. The distance between the points (3k + 1, –3k) and (3k – 2, –4 –3k) (in units) is

(A) 3k 
 
(B) 5k 
 
(C) 5 
 
(D) 3
 
Answer : (C)  
 

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) 
 
(B) (3, 5) 
 
(C) (0, 0) 
 
(D) both (B) and (C)
 
Answer : (D) 
 

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) 
 
(C) (4, 4) 
 
(D) (0, 0)
 
Answer : (A) 
 

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) 
 
(D) (1, 5)
 
Answer : (B) 
 

18. Find the area of the triangle formed by the line 3x -4y +12 = 0with the coordinate axes.
(A) 6 units2 
 
(B) 12 units2 
 
(C) 1 units
 
(D) 36 units2
 
Answer : (A) 
 

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 
 
(B) 5x +5y + 2 = 0

(C) x + 2y -5 = 0 
 
(D) x + 2y +7 = 0
 
Answer : (C)
 

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 
 
(B) 1 : 1 internally 
 
(C) a : b externally 
 
(D) 2 : 1 externally
 
Answer : (B)  
 

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 
 
(D) -1/2
 
Answer : (B)
  

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 
 
(B) 6 
 
(C) 4 
 
(D) 3
 
Answer : (B)
 
 

23. Find the length of the longest side of the triangle formed by the line 3x + 4y =12with the coordinate axes.
(A) 9 
 
(B) 16
 
(C) 5
 
(D) 7
 
Answer : (C)
 
 

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

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