Question

Question 5
To construct a triangle similar to a given $\Delta$ABC with its sides $\frac{8}{5}$ of the corresponding sides of $\Delta$ABC draw a ray BX such that $\angle$ 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
(A) 5
(B) 8
(C) 13
(D) 3

Answer 1

(B)

To construct a triangle similar to a given triangle with its sides $\frac{m}{n}$ (m>n) of the corresponding sides of given triangle, the minimum number of points to be located at equal distances is equal to the maximum of m and n in $\frac{m}{n}$.
Here, $\frac{m}{n}=\frac{8}{5}$
So, the minimum number of point to be located at equal distance on ray BX is 8.