**CBSE Class 10 Maths – MCQ and Online Tests – Unit 11 – Constructions**

Every year CBSE conducts board exams for 10th standard. These exams are very competitive to all the students. So our website provides online tests for all the 10th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 10 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

**CBSE Class 10 Maths – MCQ and Online Tests – Unit 11 – Constructions**

Question 1.

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

Answer: (b) p + q

Question 2.

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) 105°

(b) 70°

(c) 140°

(d) 145°

## Answer

Answer: (d) 145°

Question 3.

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

## Answer

Answer: (d) 12

Question 4.

To divide a line segment AB in the ratio 4 : 7, ray AX is drawn first such that ∠BAX is an acute angle and then points A_{1}, A_{2}, A_{3},……… are located at equal distances on the ray AX and the point B is joined to

(a) A_{12}

(b) A_{11}

(c) A_{10}

(d) A_{9}

## Answer

Answer: (b) A_{11}

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 B_{4} parallel to AX and the points A_{1}, A_{2}, A_{3}, …….. and B_{1}, B_{2}, B_{3},………. are located at equal distances on ray AX and B_{4}, respectively. Then the points joined are

(a) A_{5} and B_{6}

(b) A_{6} and B_{5}

(c) A_{4} and B_{5}

(d) A_{5} and B_{4}

## Answer

Answer: (a) A_{5} and B_{6}

Question 6.

To construct a triangle similar to a given ΔABC with its sides \(\frac{3}{7}\) 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 B_{1}, B_{2}, B_{3}, on BX at equal distances and next step is to join

(a) B_{10} to C

(b) B_{3} to C

(c) B_{7} to C

(d) B_{4} to C

## Answer

Answer: (c) B_{7} to C

Question 7.

To construct a triangle similar to a given ΔABC with its sides \(\frac{8}{5}\) 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

Answer: (b) 8

Question 8.

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) 120°

## Answer

Answer: (d) 120°

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