Constructions MCQ Questions for Class 10 Maths Chapter 11 with Answers

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 10 Mathematics book Chapter 11 Constructions with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam, Taking the help of the Class 10 Business Studies Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Constructions. Each Questions has four options followed by the right answer. Download the Mathematics Quiz Questions with Answers for Class 10 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 10 Mathematics with Answers

Q1. A line segment drawn perpendicular from the vertex of a triangle to the opposite side is called the

(i) Bisector
(ii) Median
(iii) Perpendicular
(iv) Altitude

(iv) Altitude

Q2. When a line segment is divided in the ratio 2 : 3, how many parts is it divided into?

(i) 23
(ii) 2
(iii) 3
(iv) 5

(iv) 5

Q3. A tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm will be

(i) 2.5 cm
(ii) 3.7 cm
(iii) 4.47 cm
(iv) 5.6 cm

(iii) 4.47 cm

Q4. The angle between tangent at a point on a circle and the radius through the point is-

(i) 45°
(ii) 60°
(iii) 90°
(iv) 120°

(iii) 90°

Q5. 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 :​

(i) 105°
(ii) 135°
(iii) 145°
(iv) 70°

(ii) 135°

Q6. 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 :

(i) p + q
(ii) pq
(iii) p + q – 1
(iv) greater of p and q

(i) p + q

Q7. To construct a triangle similar to a given ΔPQR with its sides 5/8 of the similar sides of ΔPQR, draw a ray QX such that ∠QRX is an acute angle and X lies on the opposite side of P with respect to QR. Then locate points Q1, Q2, Q3, … on QX at equal distances, and the next step is to join:

(i) Q10 to C
(ii) Q3 to C
(iii) Q8 to C
(iv) Q4 to C

(iii) Q8 to C

Q8. 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 ​

(i) 150°
(ii) 130°
(iii) 120°
(iv) 100°

(ii) 130°

Q9. Which theorem criterion we are using in giving the just the justification of the division of a line segment by usual method ?

(i) SSS criterion
(ii) Area theorem
(iii) BPT
(iv) Pythagoras theorem

(iii) BPT

Q10. To construct a pair of tangents to a circle at an angle of 60° to each other, it is needed to draw tangents at endpoints of those two radii of the circle, the angle between them should be:

(i) 100
(ii) 90
(iii) 180
(iv) 120

(iv) 120

Q11. 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:

(i) 8
(ii) 10
(iii) 11
(iv) 12

(iv) 12

Q12. 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 :​

(i) 105°
(ii) 135°
(iii) 145°
(iv) 70°

(ii) 135°

Q13. To draw a pair of tangents to a circle which are inclined to each other at angle x°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is

(i) 180°−x°
(ii) 90°+x°
(iii) 90°−x°
(iv) 180°+x°

(i) 180°−x°

Q14. 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?

(i) 1
(ii) 3
(iii) Infinite
(iv) 2

(iv) 2

Q15. 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

(i) ab
(ii) Greater of a and b
(iii) ( a + b)
(iv) (a + b – 1)

(iii) ( a + b)

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MCQ Questions for Class 10 Mathematicss with Answers

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