Question

Find the equation of the plane which is perpendicular to $x-axis$ and that passes through the point $\left(2,-1,3\right)$.

Answer 1

Equation of plane passing through point $(2,-1,3)a(x-2)+b(y+1)+c(z-3)=0$
$\because$ Plane is perpendicular to $T-$axis
$\therefore b=0,c=0$
Hence required equation of plane
$a(x-2)+0(y+1)+0(z-3)=0$
$\Rightarrow (x-2)=0$
$\Rightarrow x-2=0$
$(\because a\ne 0)$