Find an Equation of the Tangent Plant to the Surface $z = \tan ^ { - 1 } ( y / x )$

Multiple Choice

Find an equation of the tangent plant to the surface $z = \tan ^ { - 1 } ( y / x )$ at the point $\left( - 2,2 , - \frac { \pi } { 4 } \right)$ .

A) $x + y + z = \pi$

B) $x + y + 4 z + \pi = 0$
C) $4 x + 4 y + z + \pi = 0$
D) $2 x - 2 y + z = \frac { \pi } { 4 }$
E) $2 x - 2 y + 4 z = \pi$
F) $4 x - 2 y - z + \pi = 0$

G) $x + 2 y + 4 z = 2 - \pi$

H) $x + 2 y - 4 z = 2 + \pi$