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## MCQ Questions for Class 10 Mathematics with Answers

### Q1. A line segment drawn perpendicular from the vertex of a triangle to the opposite side is called the

(i) Bisector

(ii) Median

(iii) Perpendicular

(iv) Altitude

(iv) Altitude

## Q2. When a line segment is divided in the ratio 2 : 3, how many parts is it divided into?

(i) 23

(ii) 2

(iii) 3

(iv) 5

(iv) 5

## Q3. A tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm will be

(i) 2.5 cm

(ii) 3.7 cm

(iii) 4.47 cm

(iv) 5.6 cm

(iii) 4.47 cm

## Q4. The angle between tangent at a point on a circle and the radius through the point is-

(i) 45°

(ii) 60°

(iii) 90°

(iv) 120°

(iii) 90°

##### Q5. To draw a pair of tangents to a circle which are inclined to each other at an angle of 45° it is required to draw tangents at the end point of those two radii of the circle, the angle between which is :

(i) 105°

(ii) 135°

(iii) 145°

(iv) 70°

(ii) 135°

##### Q6. To divide a line segment AB in the ratio p : q ( p, q are positive integers), draw a ray AX so that ∠BAX s an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is :

(i) p + q

(ii) pq

(iii) p + q – 1

(iv) greater of p and q

(i) p + q

###### Q7. To construct a triangle similar to a given ΔPQR with its sides 5/8 of the similar sides of ΔPQR, draw a ray QX such that ∠QRX is an acute angle and X lies on the opposite side of P with respect to QR. Then locate points Q1, Q2, Q3, … on QX at equal distances, and the next step is to join:

(i) Q10 to C

(ii) Q3 to C

(iii) Q8 to C

(iv) Q4 to C

(iii) Q8 to C

### Q8. PT and PS are tangents drawn to a circle, with centre C, from a point P. If ∠TPS = 50°, then the measure of ∠TCS is

(i) 150°

(ii) 130°

(iii) 120°

(iv) 100°

(ii) 130°

#### Q9. Which theorem criterion we are using in giving the just the justification of the division of a line segment by usual method ?

(i) SSS criterion

(ii) Area theorem

(iii) BPT

(iv) Pythagoras theorem

(iii) BPT

##### Q10. To construct a pair of tangents to a circle at an angle of 60° to each other, it is needed to draw tangents at endpoints of those two radii of the circle, the angle between them should be:

(i) 100

(ii) 90

(iii) 180

(iv) 120

(iv) 120

##### Q11. To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that ∠BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is:

(i) 8

(ii) 10

(iii) 11

(iv) 12

(iv) 12

##### Q12. To draw a pair of tangents to a circle which are inclined to each other at an angle of 45° it is required to draw tangents at the end point of those two radii of the circle, the angle between which is :

(i) 105°

(ii) 135°

(iii) 145°

(iv) 70°

(ii) 135°

##### Q13. To draw a pair of tangents to a circle which are inclined to each other at angle x°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is

(i) 180°−x°

(ii) 90°+x°

(iii) 90°−x°

(iv) 180°+x°

(i) 180°−x°

##### Q14. A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangents can be drawn from point O to the circle?

(i) 1

(ii) 3

(iii) Infinite

(iv) 2

(iv) 2

##### Q15. To divide line segment AB in the ratio A : b ( a, b are positive integers), draw a ray AX so that ∠BAX is an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is

(i) ab

(ii) Greater of a and b

(iii) ( a + b)

(iv) (a + b – 1)

(iii) ( a + b)

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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**