Question

The ratio in which the line segment joining A(-3 , 10) and B (6 , -8) is divided by P (-1 , 6) is .

• A. 2 : 7
• B. 3 : 5
• C. 2 : 3

Answer 1

The correct option is A 2 : 7

Let the ratio in which the line segment joining A(-3, 10) and B(6, - 8) is divided by P(-1, 6) be k : 1.
Therefore, $-1=\frac{6k+1(-3)}{k+1}$
$\Rightarrow$ $-k-1=6k-3$
$\Rightarrow$ $2=7k$
$\Rightarrow$ $k=\frac{2}{7}$
$\Rightarrow$ $k:1=\frac{2}{7}:1=2:7$
$\therefore$ The ratio in which the line segment joining the points (-3, 10) and (6, - 8) is divided by P(-1, 6) is 2 : 7.