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 coordinates axes is

• A. $\frac{1}{\sqrt{2}}$
• B. $\frac{1}{10}$
• C. $5\sqrt{2}$
• D. $5$

Answer 1

The correct option is A $\frac{1}{\sqrt{2}}$

Equation of plane $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$
$3x+4y+5z-1=0$
distance from origin $\frac{1}{\sqrt{5}0}=\frac{1}{\sqrt{2}}$