MCQs Questions for Class 10 Maths Chapter 11 Constructions
In this 21st century, Multiple Choice Questions (MCQs) play a very important role to prepare for a competitive examination. CBSE board also gives a number of MCQs questions in board examinations. In most of the competitive examinations, only MCQ Questions are asked.
In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.
In this post, you will find 10 MCQs questions for class 10 maths chapter 11 constructions.
MCQs Questions for Class 10 Maths Chapter 11 Constructions
1. 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
Answer: B
2. 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
Answer: A
3. 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
these points is
(A) greater of p and q
(B) p + q
(C) p + q – 1
(D) pq
Answer: A
4. To
construct a triangle similar to a given ΔABC with its sides 3/7 of the
corresponding sides of ΔABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with
respect to BC. Then locate points B1, B2, B3,
... on BX at equal distances and next step is to join:
(A)
B10 to C
(B)
B3 to C
(C)
B7 to
C
(D)
B4 to C
Answer:
C
5. To 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°
Answer:
A
6. To construct a triangle
similar to a given ΔABC with its sides 3/7 of the corresponding sides of ΔABC, first
draw a ray BX such that ∠CBX
is an acute angle and X lies on the opposite side of A with respect to BC. Then
locate points B1, B2, B3, on BX at equal
distances and next step is to join
(A) B10 to C
(B) B3 to C
(C) B7 to C
(D) B4 to C
Answer: C
7. To
draw a pair of tangents to a circle which are inclined to each other at an
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) 135°
(B) 90°
(C) 60°
(D)
1200
Answer: D
8. To construct a triangle
similar to a given ΔABC with its sides 8/5 of the corresponding sides of ΔABC draw a
ray BX such that ∠CBX
is an acute angle and X is on the opposite side of A with respect to BC. Then
minimum number of points to be located at equal distances on ray BX is
(A) 5
(B) 8
(C) 13
(D) 3
Answer: B
9. 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) 5 cm
(B) 2 cm
(C) 3 cm
(D) 3.5 cm
Answer: A
10. 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
Answer: D