An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the o…

Question

An equation of a plane parallel to the plane $x-2y+2z-5=0$ and at a unit distance from the origin is:

Accepted Answer

Plane $x-2y+2z+d=0$; distance from origin $=\dfrac{|d|}{\sqrt{1+4+4}}=\dfrac{|d|}3=1\implies d=\pm3$.
Matching option A: $x-2y+2z-3=0$.

Solutions · 1