Question

The equation of line passing through point (-5,1,-2) and is equally inclined with the co-ordinate axes, is

Answer 1

Equation of line : $\frac{x}{a}+\frac{y}{b}=1$

$\frac{x}{a}+\frac{y}{a}=1$

Point $(-5,1,-2)$ of which line passes through

$\frac{-5}{a}+\frac{1}{a}=1$

$\frac{-5+1}{a}=1$

$\therefore a=4$

Equation of line :- $\frac{x}{-4}+\frac{y}{-4}=1\Rightarrow x+y=-4$