Constructions



Question


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 s an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is :


1.
p + q

2. p + q – 1
3. pq
4. greater of p and q
Answer
26897

Question 2 :

To divide a line segment AB in the ration 2 : 5, first a ray AX is drawn, so that ∠BAX is an acute angle and then at equal distances points are marked on the ray such that the minimum number of these points is :


1.
5

2. 7
3. 4
4. 2
Answer
26898

Question 3 :

To divide a line segment PQ in the ratio 2 : 7, first a ray PZ 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 :


1. 2
2. 9
3. 5
4. 7
Answer
26899

Question 4 :

To divide a line segment LM in the ratio a : b, where a and b are positive integers, draw a ray LX so that ∠MLX is an acute angle and then mark points on the ray LX at equal distances such that the minimum number of these points is :


1.
a + b – 1

2. a + b
3. ab
4. greater of a and b
Answer
26900

Question 5 :

To construct a triangle similar to given ΔABC with its sides 7/4 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. The minimum number of points to be located at equal distances on ray BX is :


1. 7
2. 5
3. 4
4. 3
Answer
26901

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