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 $\frac{\lambda}{1}$ = $–\frac{x_{1}}{x_{2}}$ = $\frac{–3}{–2}$ = $\frac{3}{2}$

\ Required co-ordinates

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