Question

If the point dividing internally the line segment joining the points $(a,b)$ and $(5,7)$ in the ratio $2:1$ be $(4,6)$, then $a\times b$ is

Answer 1

Answer: 8

$\because$ the point dividing internally the line segment joining the point $(a,b)$ and $(5,7)$ in the ratio $2:1$ be $(4,6)$.
$\therefore \frac{2\times 5+1(a)}{2+1}=4$
$\Rightarrow a=2$
and $\frac{2\times 7+1(b)}{2+1}=6$
$\Rightarrow b=4$.