Find the ratio in which the line joining (2,4,5) and (3,5,4) is divided by the yz-plane.

Options

A. `2:3`
B. `3:2`
C. `-2:3`
D. `4:-3`

Answer

C

Explanation

Let the line joining the points (2,4,5) and (3,5,-4) is divided by the yz-plane in the ratio `lamda:1`. The coordinates of any point P on the line are `((2+3lamda)/(lamda+1),(4+5lamda)/(lamda+1),(5-4lamda)/(lamda+1))`.
If this point lies on the yz-plane
`therefore`x-coordinate is zero.
`therefore`x-coordinate is zero. ltbr `implies(2+3lamda)/(lamda+1)=0 implieslamda=-(2)/(3)`