MCQ Questions | Class 10 Maths Chapter 11 | Constructions with Answers

MCQ | Constructions Class 10 | Sat A

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 11 Constructions with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Constructions Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 10

NCERT Solutions Class 10 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	10th
Subject:	Maths
Chapter:	11
Chapters Name:	Constructions
Medium:	English

Ncert Solutions for Class 10 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 10 Maths Chapter 11 Constructions to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Constructions | Class 10 Maths | NCERT Solutions

Q1.	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 distances on the ray AX and the point B is joined to
	A. A₄
	B. A₁₁
	C. A₁₀
	D. A₇

Ans: A₁₁

Q2.	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

Ans: 5

Q3.	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

Ans: 12

Q4.	To divide a line segment AB in the ratio p : q ( p, q are positive integers), draw a ray AX so that ∠BAX s an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is :
	A. p + q
	B. pq
	C. p + q – 1
	D. greater of p and q

Ans: p + q

Q5.	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

Ans: 8

Q6.	Which theorem criterion we are using in giving the just the justification of the division of a line segment by usual method ?
	A. SSS criterion
	B. Area theorem
	C. BPT
	D. Pythagoras theorem

Ans: BPT

Q7.	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°

Ans: 130°

Q8.	To divide a line segment PQ in the ratio 5 : 7, first a ray PX is drawn so that ∠QPX is an acute angle and then at equal distances points are marked on the ray PX such that the minimum number of these points is
	A. 5
	B. 7
	C. 12
	D. 10

Ans: 12

Q9.	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 distances on the ray AX and the point B is joined to
	A. A₄
	B. A₁₁
	C. A₁₀
	D. A₇

Ans: A₁₁

Q10.	o 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. 145°
	B. 130°
	C. 135°
	D. 90°

Ans: 145°

Q11.	In division of a line segment AB, any ray AX making angle with AB is
	A. right angle
	B. obtuse angle
	C. any arbitrary angle
	D. acute angle

Ans: acute angle

Q12.	To divide a line segment AB in the ratio 5 : 6 draw a ray AX such that ∠BAX is an acute angel, 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

Ans: A₅ and B₆

Q13.	To divide line segment AB in the ratio A : b ( a, b 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. ab
	B. Greater of a and b
	C. ( a + b)
	D. (a + b – 1)

Ans: ( a + b)

Q14.	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°

Ans: 135°

Q15.	A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangents can be drawn from point O to the circle?
	A. 2
	B. 1
	C. Infinite
	D. 0

Ans: 2

Q16.	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

Ans: A₁₁

Q17.	A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangents can be drawn from point O to the circle?
	A. 1
	B. 3
	C. Infinite
	D. 2

Ans: 2

Q18.	To construct a triangle similar to given ΔABC with its sides 3/7 of the corresponding sides of ΔABC, first draw a ray BX such that ∠CBXis an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B₁,B₂,B₃, on BX equal distance and next step is to join :
	A. B₄ to C
	B. B₁₀ to C
	C. B₆ to C
	D. B₇ to C

Ans: B₇ to C

Q19.	To draw a pair of tangents to circle which are inclined to each other at 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. 60°
	B. 90°
	C. 120°
	D. 130°

Ans: 120°

Q20.	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

Ans: Altitude

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

MCQ Questions | Class 10 Maths Chapter 11

MCQ Questions | Class 10 Maths Chapter 11 | Constructions with Answers

MCQ | Constructions Class 10 | Sat A

Objective Question | NCERT Maths Class 10

Ncert Solutions for Class 10 Maths | Objective Type Questions

Constructions | Class 10 Maths | NCERT Solutions

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

Ncert Solutions for Class 10 Maths Chapter 1

Ncert Solutions for Class 10 Maths Chapter 2

Ncert Solutions for Class 10 Maths Chapter 3

Ncert Solutions for Class 10 Maths Chapter 4

Ncert Solutions for Class 10 Maths Chapter 5

Ncert Solutions for Class 10 Maths Chapter 6

Ncert Solutions for Class 10 Maths Chapter 7

Ncert Solutions for Class 10 Maths Chapter 8

Ncert Solutions for Class 10 Maths Chapter 9

Ncert Solutions for Class 10 Maths Chapter 10

Ncert Solutions for Class 10 Maths Chapter 11

Ncert Solutions for Class 10 Maths Chapter 12

Ncert Solutions for Class 10 Maths Chapter 13

Ncert Solutions for Class 10 Maths Chapter 14

Ncert Solutions for Class 10 Maths Chapter 15

NCERT SOLUTIONS

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