What is the length of the perpendicular from the origin to the plane `ax+by+sqrt(ab)z=1`?

Options

A. 1/(ab)
B. 1/(a+b)
C. a + b
D. ab

Answer

B

Explanation

Length of perpendicular from the origin to the plane
`ax+by+sqrt(2ab)z-1=0` is
`=abs((0+0+0-1)/sqrt(a^2+b^2+2ab))=1/sqrt((a+b))^2=1/((a+b))`