CBSE Class 10 Mathematics Chapter 11 Constructions Multiple Choice Questions with Answers. MCQ Class 10 Maths Constructions with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Constructions MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 5
Question 1:
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
Correct Answer – (A)
Question 2 :
In division of a line segment AB, any ray AX making angle with AB is
(a) right angle
(b) obtuse angle
(c) any arbitrary angle
(d) acute angle
Correct Answer – (D)
Question 3 :
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?
(a) 2
(b) 1
(c) Infinite
(d) 0
Correct Answer – (A)
Question 4 :
To draw a pair of tangents to circle which are inclined to each other at angle of 60°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be :
(a) 60°
(b) 90°
(c) 120°
(d) 130°
Correct Answer – (C)
Question 5 :
If two tangents are drawn at the end points of two radii of a circle which are inclined at 120° to each other, then the pair of tangents will be inclined to each other at an angle of
(a) 60°
(b) 90°
(c) 100°
(d) 120°
Correct Answer – (A)
Question 6 :
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
Correct Answer – (C)
Question 7 :
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)
Correct Answer – (A)
Question 8 :
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?
(a) 1
(b) 3
(c) Infinite
(d) 2
Correct Answer – (D)
Question 9 :
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
(a) 180°−x°
(b) 90°+x°
(c) 90°−x°
(d) 180°+x°
Correct Answer – (A)
Question 10 :
To divide a line segment AB in the ratio 4 : 7, a ray AX is drawn first such that ∠BAX is an acute angle and then points A1, A2, A3, … are located at equal distances on the ray AX and the point B is joined to
(a) A4
(b) A11
(c) A10
(d) A7
