Question

Distance between parallel planes 2x-2y+z+3=0 and 4x-4y+2z+5=0 is

• A. $\frac{2}{3}$
• B. $\frac{1}{3}$
• C. $\frac{1}{6}$
• D. 2

Answer 1

The correct option is C $\frac{1}{6}$

The required distance is given by
$|\frac{3}{\sqrt{2^2+2^2+1^2}}-\frac{5}{\sqrt{4^2+4^2+2^2}}|=|1-\frac{5}{6}|=\frac{1}{6}$.