Question

find the ratio in which YZ-plane divides the line joining $A(2,4,5)$ and $B(3,5,-4)$

Answer 1

$x=\frac{3k+2}{k+1}$

$y=\frac{5k+4}{k+1}$

$x=\frac{-4k+5}{k+1}$

Since point p lies on yz plane,x-coordinate=0

$\frac{3k+2}{k+1}=0$

Hence the ratio is $-2:3$