Question

The equation of the plane which is parallel to $xy$ plane and cuts intercept of length $3$ from the z-axis

• A. $x=3$
• B. $y=3$
• C. $z=3$
• D. $x+y+z=3$

Answer 1

The correct option is C $z=3$

Plane parallel to $xy$ plane $\Rightarrow z=k$

$z$ intercept is $3$ $\Rightarrow (0,0,3)$ satisfies the plane equation.

$\therefore k=3$ & $z=3$ is equation of plane.