Question

The point dividing the line joining the points (1, 2, 3) and (3, -5, 6) in the ratio 3 : -5 is

• A. $(2,\frac{-25}{2},\frac{3}{2})$
• B. $(-2,\frac{25}{2},\frac{-3}{2})$
• C. $(2,\frac{25}{2},\frac{3}{2})$
• D. None of these

Answer 1

The correct option is B

$(-2,\frac{25}{2},\frac{-3}{2})$

$x=\frac{-5+9}{-2}=-2,y=\frac{-5\left(2\right)+3(-5)}{-2}=\frac{25}{2}$
$z=\frac{-5\left(3\right)+3\left(6\right)}{-2}=-\frac{3}{2}.$