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 - 6
Question 1:
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of ___________ from the centre.
(A) 5cm
(B) 2cm
(C) 3cm
(D) 3.5cm
Correct Answer – (A)
Question 2 :
To divide a line segment AB in the ratio p : q (p, q 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) greater of p and q
(B) p + q
(C) p + q – 1
(D) pq
Correct Answer – (B)
We know that to divide a line segment in the ratio m : n, first draw a ray AX which makes an acute angle BAX , then mark m + n points at equal distances from each other.
Here m = p, n = q
So minimum number of these points = m + n = p + q
Question 3 :
To construct a triangle similar to a given ΔABC with its sides 8/5 of the corresponding sides of ΔABC draw a ray BX such that ∠CBX is an acute angle and X is 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) 5
(B) 8
(C) 13
(D) 3
Correct Answer – (B)
To construct a triangle similar to a given triangle with its sides m/n of the corresponding sides of given triangle ,the minimum number of points to be located at equal distance is equal to the greater of m and n in m/n.
Here, m/n = 8/5
So the minimum number of points to be located at equal distance on ray BX is 8.
Question 4 :
To divide a line segment AB in the ratio 5 : 6, draw a ray AX such that ∠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 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
Correct Answer – (A)
Question 5 :
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:
(A) 8
(B) 10
(C) 11
D) 12
Correct Answer – (D)
We know that to divide a line segment in the ratio m : n, first draw a ray AX which makes an acute angle BAX , then marked m+n points at equal distances from each other.
Here m = 5, n = 7
So minimum number of these point = m + n = 5 + 7 = 12
Question 6 :
To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is:
(A) 105°
(B) 70°
(C) 140°
(D) 145°
Correct Answer – (D)
Question 7 :
To draw a pair of tangents to a circle which are inclined to each other at an 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) 135°
(B) 90°
(C) 60°
(D) 1200
Correct Answer – (D)
Question 8 :
To construct a triangle similar to a given ΔABC with its sides 3/7 of the corresponding sides of ΔABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B1, B2, B3, … on BX at equal distances and next step is to join:
(A) B10 to C
(B) B3 to C
(C) B7 to C
(D) B4 to C
Correct Answer – (C)
Question 9 :
o 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) A12
(B) A11
(C) A10
(D) A9
Correct Answer – (B)
Question 10 :
When a line segment is divided in the ratio 2 : 3, how many parts is it divided into?
(a) 2/3
(b) 2
(c) 3
(d) 5
