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 - 2
Question 1:
If the line segment is divided in the ratio 3 : 7, then how many parts does it contain while constructing the point of division?
(a) 3
(b) 7
(c) 4
(d) 10
Correct Answer – (D)
Question 2 :
To divide a line segment AB in the ratio p : q, 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 9. Here, the possible ratio of p : q is
(a) 3 : 5
(b) 4 : 7
(c) 2 : 9
(d) 5 : 4
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 we need to mark m + n points at equal distances from each other.
By verifying all the given options, the ratio which satisfies p + q = 9 is 5 : 4.
Question 3 :
In the division of a line segment AB, any ray AX making angle with AB is _______.
(a) an acute angle
(b) a right angle
(c) an obtuse angle
(d) reflex angle
Correct Answer – (A)
Question 4 :
By geometrical construction, is it possible to divide a line segment in the ratio 1/√3 : √3?
(a) Yes
(b) No
(c) Cannot be determined
(d) None of these
Correct Answer – (A)
Given ratio is 1/√3 : √3
Multiplying by √3, we get
(1/√3) × √3 : √3 × √3
1 : 3
Thus, the simplified ratio contains only integers.
Hence, the geometrical construction makes it possible to divide the given line segment.
Question 5 :
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)
Given ratio is 5 : 6.
That means, we have to locate 5 points such as A1, A2, A3, A4, A5 on the ray AX and 6 points such as B1, B2, B3, B4, B5, B6, on BY.
Also, we need to join A5 and B6.
Question 6 :
A line segment drawn perpendicular from the vertex of a triangle to the opposite side is known as
(a) altitude
(b) median
(c) bisector of side
(d) radius of incircle of the triangle
Correct Answer – (A)
Question 7 :
A point P is at a distance of 8 cm from the centre of a circle of radius 5 cm. How many tangents can be drawn from point P to the circle?
(a) 0
(b) 1
(c) 2
(d) Infinite
Correct Answer – (C)
From the given,
Distance of a point from the centre of the circle > Radius of the circle
So, the point lies outside the circle.
Hence, we can draw 2 tangents to the circle from the point P.
Question 8 :
In constructions, the scale factor is used to construct ______ triangles.
(a) right
(b) equilateral
(c) similar
(d) congruent
Correct Answer – (C)
Question 9 :
By geometrical construction, which one of the following ratios is not possible to divide a line segment?
(a) 1 : 10
(b) √9 : √4
(c) 10 : 1
(d) 4 + √3 : 4 – √3
Correct Answer – (D)
Question 10 :
If the scale factor is 3/5, then the new triangle constructed is _____ the given triangle.
(a) smaller the
(b) greater than
(c) overlaps
(d) congruent to
