Question

The co-ordinates of the point in which the line joining the points $( 3,5 , - 7 )$ and $( - 2,1,8 )$ is intersected by the plane yz are given by.

• A. $\left( 0 , \frac { 13 } { 5 } , 2 \right)$
• B. $\left( 0 , - \frac { 13 } { 5 } , - 2 \right)$
• C. $\left( 0 , - \frac { 13 } { 5 } , \frac { 2 } { 5 } \right)$
• D. $\left( 0 , \frac { 13 } { 5 } , \frac { 2 } { 5 } \right)$

Answer 1

Answer: (A)

$\left( 0 , \frac { 13 } { 5 } , 2 \right)$

Answer 2

Ratio = $- \left( \frac { 3 } { - 2 } \right) = \frac { 3 } { 2 }$

$\therefore$ Required co-ordinates of the points are,

$\left[ \frac { 6 - 6 } { 5 } , \frac { 10 + 3 } { 5 } , \frac { - 14 + 24 } { 5 } \right] = \left( 0 , \frac { 13 } { 5 } , 2 \right)$ .