Question

The coordinates of the points in which the line joining the points $(2,5,-7)$ and $(-3,-1,8)$ are intersected by the y-z plane are

• A. $(0,\frac{13}{5},-1)$
• B. $(0,\frac{-13}{5},-2)$
• C. $(0,\frac{-13}{5},\frac{2}{5})$
• D. $(0,\frac{13}{5},\frac{2}{5})$

Answer 1

The correct option is A $(0,\frac{13}{5},-1)$

Equation of line joining $A(2,5,-7)$ and $B(-3,-1,8)$

$\frac{x-2}{5}=\frac{y-5}{6}=\frac{z+7}{-15}$

When line meets $y-z$ plane $\Rightarrow x=0$

$\frac{y-5}{6}=\frac{-2}{5}\Rightarrow y=\frac{13}{5},\frac{-2}{5}=\frac{z+7}{-15}\Rightarrow z=-1\therefore (x,y,z)=(0,\frac{13}{5},-1)$