Question

The ratio in which x-axis divides the join of the points

(2, –3) and (5, 6) is.

• A. 2 : 1
• B. 1: 2
• C. 2 : –1
• D. None of these

Answer 1

Answer: (B)

1: 2

Answer 2

Let ratio be k : 1 and coordinates of x-axis are $( a , 0 )$ Therefore $0 = \frac { k \times 6 + 1 \times ( - 3 ) } { k + 1 } \Rightarrow k = \frac { 1 } { 2 }$

Hence the ratio is 1 : 2.

Aliter : Apply the formula given in the theory part, the required ratio is $- \left( \frac { - 3 } { 6 } \right)$ or 1 : 2.