Question

A student wants to divide a line segment AB in some ratio. If he draws a ray AX so that ∠BAX is an acute angle and marks 15 points on ray AX at equal distances, then the ratio in which the line segment AB is divided, can be

• A. 15 : 1
• B. 9 : 5
• C. 8 : 7
• D. 15 : 7
  

Answer 1

The correct option is C 8 : 7

If the student wants to divide the line segment AB in the ratio m : n then he would draw ray AX so that ∠BAX is an acute angle and would mark (m + n) points placed at equal intervals on the ray AX.
Here, he draws 15 points on the ray AX.
Therefore, m + n = 15.


Now, 1$5+1\ne 15$
$9+5\ne 15$
$8+7=15$
$15+7\ne 15$
Thus, the ratio in which the line segment AB is divided can be 8 : 7.

Hence, the correct answer is option c.