Question

Ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6) is 3:7

• A. True
• B. False
• C. Ambiguous
• D. Data insufficient

Answer 1

The correct option is B False

The answer is false and the ratio in which the line is divided is 2:7

Let us consider a point P(-1, 6)(refer fig) that divides A(-3, 10) and B(6,-8) as per k:1 ratio, then we co-ordinates of P as $(\frac{6k-3}{k+1},\frac{-8k+10}{k+1})$.

But we already have given co-ordinates of P,

$\therefore \frac{6k-3}{k+1}=-1$ and rewriting we have

$6k-3=-k-1$ or $6k+k=3-1$ $\therefore 7k=2$ or $k=\frac{2}{7}$

Thus, we get the point P dividing AB in the ratio $2:7.$