Browse Questions

# Prove that if a plane has the intercepts $a, b, c$ and is at a distance of $p$ units from the origin, then $\large\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c^2} = \frac{1}{p^2}$.

Can you answer this question?

• The perpendicular distance of a plane from the origin is $p=\large\frac{d}{\sqrt{A^2+B^2+C^2}}$