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## 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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## MCQ Questions for Class 10 Mathematicss with Answers

**Lesson 1. Real Numbers Class 10 MCQs****Lesson 2. Polynomials Class 10 MCQs****Lesson 3. Pair Of Linear Equations In Two Variables Class 10 MCQs****Lesson 4. Quadratic Equations Class 10 MCQs****Lesson 5. Arithmetic Progression Class 10 MCQs****Lesson 6. Triangles Class 10 MCQs****Lesson 7. Coordinate Geometry Class 10 MCQs****Lesson 8. Introduction To Trigonometry Class 10 MCQs****Lesson 9. Some Applications Of Trigonometry Class 10 MCQs****Lesson 10. Circles Class 10 MCQs****Lesson 11. Constructions Class 10 MCQs****Lesson 12. Areas Related To Circles Class 10 MCQs****Lesson 13. Surface Areas And Volumes Class 10 MCQs****Lesson 14. Statistics Class 10 MCQs****Lesson 15. Probability Class 10 MCQs**