Question

The length of perpendicular from the origin to the plane which makes intercepts $\frac{1}{3},\frac{1}{4},\frac{1}{5}$ respectively on the coordinate axes is

• A. $\frac{1}{\sqrt[5]{52}}$
• B. $\frac{1}{10}$
• C. $\sqrt[5]{52}$
• D. 5

Answer 1

Answer: (A)

$\frac{1}{\sqrt[5]{52}}$

Equation of plane $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$
$3x+4y+5z-1=0$
diatance from origin $\frac{1}{\sqrt{50}}=\frac{1}{\sqrt[5]{52}}$