Coordinate Geometry MCQ Questions for Class 10 Maths Chapter 7 with Answers

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 10 Mathematics book Chapter 7 Coordinate Geometry with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam, Taking the help of the Class 10 Business Studies Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Coordinate Geometry. Each Questions has four options followed by the right answer. Download the Mathematics Quiz Questions with Answers for Class 10 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 10 Mathematics with Answers

Q1. The distance between the point P(1, 4) and Q(4, 0) is

(i) 4
(ii) 5
(iii) 6
(iv) 3√3

(ii) 5

Q2. If the distance between the points A(2, -2) and B(-1, x) is equal to 5, then the value of x is:

(i) 2
(ii) -2
(iii) 1
(iv) -1

(i) 2

Q3. The area of the triangle whose vertices are A(1, 2), B(-2, 3) and C(-3, -4) is

(i) 11
(ii) 22
(iii) 33
(iv) 21

(i) 11

Q4. The points (6, 1), (8, 2), (9, 4) and (7, 3) are the vertices of a

(i) trapezium
(ii) rectangle
(iii) square
(iv) rhombus

(iv) rhombus

Q5. The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is

(i) 63
(ii) 35
(iii) 53
(iv) 36

(iii) 53

Q6. The midpoints of a line segment joining two points A(2, 4) and B(-2, -4)

(i) (-2,4)
(ii) (2,-4)
(iii) (0, 0)
(iv) (-2,-4)

(iii) (0, 0)

Q7. The distance of the point (– 3, 4) from the origin is

(i) 25 units
(ii) 1 unit
(iii) 7 units
(iv) 5 units

(iv) 5 units

Q8. The points (3, 2), (0, 5), (-3, 2) and (0, -1) are the vertices of a quadrilateral. Which quadrilateral is it?​

(i) Rectangle
(ii) Square
(iii) Parallelogram
(iv) Rhombus

(ii) Square

Q9. The point which lies on the perpendicular bisector of the line segmen joining the points P (- 3, – 5) and Q (3, 5) is

(i) (-3, 4)
(ii) (2, -5)
(iii) (0, 0)
(iv) (-1, 4)

(iii) (0, 0)

Q10. The distance of point A(2, 4) from x-axis is

(i) 2
(ii) 4
(iii) -2
(iv) -4

(ii) 4

Q11. The mid-point of the line segment joining the points A (-2, 8) and B (-6, -4) is

(i) (-4, -6)
(ii) (2, 6)
(iii) (-4, 2)
(iv) (4, 2)

(iii) (-4, 2)

Q12. The ratio in which the line 2x + 3y – 9 = 0 the points (2, 3) and (4, 7) is

(i) 3 : 1
(ii) -5 : 4
(iii) -1 : 5
(iv) 2 : 5

(iii) -1 : 5

Q13. The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio

(i) 3 : 4
(ii) 3 : 2
(iii) 2 : 3
(iv) 4 : 3

(i) 3 : 4

Q14. The points which divides the line segment of points P(-1, 7) and (4, -3) in the ratio of 2:3 is:

(i) (-1, 3)
(ii) (-1, -3)
(iii) (1, -3)
(iv) (1, 3)

(iv) (1, 3)

Q15. If (a, 0) , (0, b) and (x, y) are collinear, then

(i) ay + bx = ab
(ii) ax + by = 1
(iii) ax – by = ab
(iv) ay – bx = 1

(i) ay + bx = ab

Q16. Find the orthecentre of the triangle ABC having its vertices as A (- 2, – 3), B (2, 1) and C (5, – 2).

(i) ( -3, 5)
(ii) ( -4, 6)
(iii) (2, 1)
(iv) (0, 0)

(iii) (2, 1)

Q17. If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is

(i) -7 or -1
(ii) -7 or 1
(iii) 7 or 1
(iv) 7 or -1

(iv) 7 or -1

Q18. The ratio in which the line segment joining the points P(-3, 10) and Q(6, – 8) is divided by O(-1, 6) is:

(i) 1:3
(ii) 3:4
(iii) 2:7
(iv) 2:5

(iii)2:7

Q19. The points (1,1), (-2, 7) and (3, -3) are

(i) vertices of an equilateral triangle
(ii) collinear
(iii) vertices of an isosceles triangle
(iv) none of these

(ii) collinear

Q20. The area of a triangle formed by the line 4x – 3y + 12 = 0 with the coordinate axes is

(i) 3 sq unit
(ii) 4 sq unit
(iii) 5 sq unit
(iv) 6 sq unit
(e) None of these

(i) 3 sq unit

Q21. The coordinates of the centroid of a triangle whose vertices are (0, 6), (8,12) and (8, 0) is

(i) (4, 6)
(ii) (16, 6)
(iii) (8, 6)
(iv) (16/3, 6)

(iv) (16/3, 6)

Q22. The area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2,-1) taken in order, is:

(i) 12 sq.unit
(ii) 24 sq.unit
(iii) 30 sq.unit
(iv) 32 sq.unit

(ii) 24 sq.unit

Q23. The perimeter of a triangle with vertices (0, 4) (0, 0) and (3, 0) is:

(i) 15
(ii) 12
(iii) 8
(iv) 10

(ii) 12

Q24. The area of the triangle formed by the points A(-1.5, 3), B(6, -2) and C(-3, 4) is

(i) 0
(ii) 1
(iii) 2
(iv) 3/2

(i) 0

Q25. The ratio in which the x-axis divides the segment joining A(3,6) and B(12,-3) is​

(i) 1:2
(ii) -2:1
(iii) 2:1
(iv) -1:-1

(iii) 2:1

Q26. The distance of the point P(6,-6) from the origin is equal to​

(i) 3 √4 units
(ii) 8 units
(iii) 6 √2 units
(iv) 3 units

(iii) 6 √2 units

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