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 -
Question 1:
To construct a triangle similar to a given ΔPQR with its sides 3/7 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:
(a) Q10 to C
(b) Q3 to C
(c) Q7 to C
(d) Q4 to C
Correct Answer – (C)
Question 2 :
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) 3.5 cm
(b) 2.5 cm
(c) 5 cm
(d) 2 cm
Correct Answer – (C)
Question 3 :
To divide a line segment PQ in the ratio m : n, where m and n are two positive integers, draw a ray PX so that ∠PQX is an acute angle and then mark points on ray PX at equal distances such that the minimum number of these points is:
(a) m + n
(b) m – n
(c) m + n – 1
(d) Greater of m and n
Correct Answer – (A)
Question 4 :
o construct a triangle similar to a given ΔPQR with its sides, 9/5 of the corresponding sides of ΔPQR draw a ray QX such that ∠QRX is an acute angle and X is on the opposite side of P with respect to QR. The minimum number of points to be located at equal distances on ray QX is:
(a) 5
(b) 9
(c) 10
(d) 14
Correct Answer – (B)
To draw a triangle similar to a given triangle with its sides m/n of the similar sides of a given triangle, the minimum number of points to be located at an equal distance is equal to m or n, whichever is greater.
Here, m/n = 9/5
9 > 5, therefore the minimum number of points to be located is 9.
Question 5 :
To divide a line segment AB of length 7.6 cm in the ratio 5 : 8, a ray AX is drawn first such that ∠BAX forms 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) A5
(b) A6
(c) A10
(d) A13
Correct Answer – (A)
Question 6 :
To construct a triangle ABC and then a triangle similar to it whose sides are 2/3 of the corresponding sides of the first triangle. A ray AX is drawn where multiple points at equal distances are located. The last point to which point B will meet the ray AX will be:
(a) A1
(b) A2
(c) A3
(d) A4
Correct Answer – (C)
Question 7 :
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 endpoints of those two radii of the circle, the angle between which is:
(a) 135°
(b) 155°
(c) 160°
(d) 120°
Correct Answer – (A)
Question 8 :
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:
(a) 100°
(b) 90°
(c) 180°
(d) 120°
Correct Answer – (D)
Question 9 :
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:
(a) Q10 to C
(b) Q3 to C
(c) Q8 to C
(d) Q4 to C
Correct Answer – (C)
Question 10 :
To divide a line segment AB in the ratio 3:4, 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) 5
(b) 7
(c) 9
(d) 11
