CBSE Class 10 Mathematics Constructions MCQs

Question : To divide a line segment AB in the ratio 3 : 7, first a ray AX is drawn so that angle BAX is an acute angle and then at equal distances point are marked on the ray AX such that the minimum number of these point is
(a) 3
(b) 10
(c) 7
(d) 12

Question : To divide a line segment AB in the ratio 4 : 5, first a ray AX is drawn first such that angle 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) A5
(c) A10
(d) A9

Question : To divide a line segment AB in the ratio 4 : 5, first a ray AX is drawn first such that angle BAX is an acute angle, then draw a ray BY parallel to AX and the points A1, A2, A3, …. And B1, B2, B3, … are located at equal distances on the ray AX and BY respectively, then the points joined are
(a) A5 and B6
(b) A6 and B5
(c) A4 and B5
(d) A5 and B4

Question : To construct a triangle similar to a given ΔABC with its sides 2 /5 of the corresponding sides of ΔABC, first draw a ray BX such that angle CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then, locate point A1, A2, A3,…. On BX at equal distance and next steps is to join
(a) A7 to C
(b) A2 to C
(c) A5 to C
(d) A4 to C

Question : To construct a triangle similar to a given ΔABC with its sides 2/ 5 of the corresponding sides of ΔABC, first draw a ray BX such that angle CBX is an acute angle and X lies on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on rayBX is
(a) 3
(b) 5
(c) 8
(d) 2

Question : To construct a triangle similar to a given ΔABC with its sides 4/ 3 of the corresponding sides of ΔABC, first draw a ray BX such that angle CBX is an acute angle and X lies on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is
(a) 3
(b) 4
(c) 7
(d) none of these

Question : To draw a pair of tangents to a circle which are inclined to each other at an angle of 30⁰, it is required to draw tangents at end points of those two radii of the circle, the angle between them, should be
(a) 150⁰
(b) 90⁰
(c) 60⁰
(d) 120⁰

Question : To draw a pair of tangents to a circle which are inclined to each other at an angle of 60⁰, it is required to draw tangents at end points of those two radii of the circle, the angle between them, should be
(a) 150⁰
(b) 90⁰
(c) 60⁰
(d) 120⁰

Question : In a pair of set, squares, one if with angles are
(a) 30⁰, 60⁰, 90⁰
(b) 30⁰, 30⁰, 45⁰
(c) 75⁰, 25⁰, 80⁰
(d) 65⁰, 15⁰, 100⁰

Question : In a pair of set, squares, the other is with angles
(a) 45°, 45°, 90° 
(b) 30°, 50°, 100° 
(c) 60°, 60°, 60° 
(d) none of these

Question : To construct an angle of

(a) bisect an angle of 60°
(b) bisect an angle of 30°

(c) bisect an angle of 45° 
(d) none of these

Question : To draw the perpendicular bisector of line segment AB, we open the compass