Question
Find the ratio in which the point $P (-4,6)$ divides the line segment joining the points $A (-6,10)$ and $B (3,-8)$.

Answer

Let the ratio be $k: 1$
$-4=\frac{3 k-6}{k+1}$
$\Rightarrow k=\frac{2}{7}$
$\therefore$ required ratio is $2: 7$
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