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 - 4
Question 1:
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)
Question 2 :
PT and PS are tangents drawn to a circle, with centre C, from a point P. If ∠TPS = 50°, then the measure of ∠TCS is
(a) 150°
(b) 130°
(c) 120°
(d) 100°
Correct Answer – (B)
Question 3 :
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 end point of those two radii of the circle, the angle between which is :
(a) 105°
(b) 135°
(c) 145°
(d) 70°
Correct Answer – (B)
Question 4 :
To construct a triangle similar to given ΔABC with its sides
(a) B4 to C
(b) B10 to C
(c) B6 to C
(d) B7 to C
Correct Answer – (A)
Question 5 :
Length of the tangent to a circle from a point 26 cm away from the centre is 24 cm. What is the radius of the circle?
(a) 11 cm
(b) 13 cm
(c) 10 cm
(d) 12 cm
Correct Answer – (C)
Question 6 :
To construct a triangle similar to given ΔABC with its sides 8585 of the corresponding sides of ΔABC, draw a ray BX such that ∠CBX is an acute angle and X is one 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) 5
(c) 8
(d) 13
Correct Answer – (C)
Question 7 :
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 A_(1 ,) A_(2 ,) A_(3 ,) … and B_(1 ,) B_(2 ,) B_(3 ,)… are located a equal distances on ray AX and BY, respectively, Then the points joined are :
(a) A4 and B5
(b) A5 and B4
(c) A5 and B6
(d) A6 and B5
Correct Answer – (C)
Question 8 :
To divide a line segment AB in the ration 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) A10
(b) A11
(c) A12
(d) A9
Correct Answer – (B)
Question 9 :
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
Correct Answer – (D)
Question 10 :
A draw a pair of tangents to a circle which are inclined to each other at an angle of 65°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is:
(a) 95°
(b) 105°
(c) 110°
(d) 115°
