Please refer to Chapter 10 Construction MCQ Class 10 Mathematics with answers below. These multiple-choice questions have been prepared based on the latest NCERT book for Class 10 Mathematics. Students should refer to MCQ Questions for Class 10 Mathematics with Answers to score more marks in Grade 10 Mathematics exams. Students should read the chapter Construction and then attempt the following objective questions.

MCQ Questions Class 10 Mathematics Chapter 10 Construction

The Construction MCQ Class 10 Mathematics provided below covers all important topics given in this chapter. These MCQs will help you to properly prepare for exams.

Question. 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 end points of those two radii of the circle, the angle between them should be-   
(a) 60°
(b) 90°
(c) 45°
(d) 135°

Question. To 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 distance on the ray AX and the point B is joined to         
(a) A₁₂
(b) A₁₁
(c) A₁₀
(d) A₉

Question. The sides of a triangle (in cm) are given below. In which case, the construction of triangle is not possible. 
(a) 8, 7, 3
(b) 8, 6, 4
(c) 8, 4, 4
(d) 7, 6, 5

Question. Which is true?   
In order to divide a line segment AB = 6 cm, in the radio 3 : 5, we draw a ray AX making an acute angle ∠BAX. Along AX mark off…. points A₁, A₂, A₃ etc. such that AA₁ = A₁A₂ = etc., The number of points is
(a) 3
(b) 5
(c) 8
(d) 2

Question. Given a triangle with side AB = 8 cm. To get a line segment AB’= 3/ 4 of AB, it is required to divide the line segment AB in the ratio     
(a) 3 : 4
(b) 4 : 3
(c) 1 : 3
(d) 3 : 1

Question. To draw a pair of tangents to a circle which are inclined to each other at an angle of 70°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be     
(a) 110°
(b) 20°
(c) 90°
(d) 120°

Question. 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°

Question. To divide a line segment AB in the ratio 2 : 5, first a ray AX is drawn, so that ∠BAX is an acute angle and then at equal distance points are marked on the ray AX such that the minimum number of these point is     
(a) 2
(b) 5
(c) 4
(d) 7

Question. 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 the points is     
(a) greater of p and q
(b) p + q
(c) p + q – 1
(d) pq

Question. To divide a line segment AB of any length in the ratio 2 : 5, first draw a ray AX (or BX) making an acute angle with AB. Then, draw 7 arcs intersecting the ray at X₁, X₂, X₃, X₄, X₅, X₆ and X₇ such that AX₁ = X₁X₂ = X₂X₃ = X₃X₄ = X₄X₅ = X₅X₆ = X₆X₇. Then join X₇B, then after     
(a) join X₂B
(b) draw X₂B′ parallel to X₇ B, which intersects AB at B′. 
(c) join X₅B
(d) draw perpendicular from X₂ to AB.

Question. To draw tangent from an exterior point ‘P’ to a circle using the centre ‘O’ of the circle, first we    
(a) join P to O.
(b) draw tangent from P to the circle.
(c) draw secant from P which intersects the circle at two points.
(d) draw perpendicular at P to PO.

Fill in the Blanks :

Question. To construct a triangle we must know atleast its ………… parts.  

Question. Two circles are called concentric if both have ………… centre and ………… radii. 

Question. To construct the tangents to a circle from a external point if distance of point from centre of circle is ………… radius of circle.    

True or False :

Question. We can draw the tangents to a circle from a point outside it (external point), only when its centre is known.   

Question. We can not draw the tangent to a circle at a given point on it, when the centre of the circle is not known. 

Question. Construction of a triangle is not possible if AB + BC < AC.   

Question. To draw the perpendicular bisector of line segment PQ, we open the compass more than 1/ 2 PQ.  

We hope you liked the above Construction MCQ Class 10 Mathematics. In case you have any questions please put them in the comments box below and our teachers will provide you a response.