# Constructions MCQ Questions for Class 10 Math’s Chapter 11 with Answers

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## Q1. 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

(A) ab
(B) Greater of a and b
(C) ( a + b)
(D) (a + b – 1)

## Q2. A line segment drawn perpendicular from the vertex of a triangle to the opposite side is called the

(A) Bisector
(B) Median
(C) Perpendicular
(D) Altitude

(A) 1
(B) 3
(C) Infinite
(D) 2

(A) 23
(B) 2
(C) 3
(D) 5

(A) 180°−x°
(B) 90°+x°
(C) 90°−x°
(D) 180°+x°

(A) 2.5 cm
(B) 3.7 cm
(C) 4.47 cm
(D) 5.6 cm

(A) 105°
(B) 135°
(C) 145°
(D) 70°

(A) 45°
(B) 60°
(C) 90°
(D) 120°

(A) 8
(B) 10
(C) 11
(D) 12

(A) 105°
(B) 135°
(C) 145°
(D) 70°

(A) 100
(B) 90
(C) 180
(D) 120

## Q12. 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 :

(A) p + q
(B) pq
(C) p + q – 1
(D) greater of p and q

## Q13. Which theorem criterion we are using in giving the just the justification of the division of a line segment by usual method ?

(A) SSS criterion
(B) Area theorem
(C) BPT
(D) Pythagoras theorem

(A) Q10 to C
(B) Q3 to C
(C) Q8 to C
(D) Q4 to C

## Q15. PT and PS are tangents drawn to a circle, with center C, from a point P. If ∠TPS = 50°, then the measure of ∠TCS is ​

(A) 150°
(B) 130°
(C) 120°
(D) 100°

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