Question

To divide a line segment AB in the ratio 5:7, first a ray AX is drawn so that $\angle$ 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 1

Answer: (D)

$12$

We should divide AX into 5+7=12 parts and draw a line parallel to BX from line no. 5 to AB.

Then this line will divide AX as well as AB in the ratio 5:7.

Hence, Option D is correct.