# The equation of a line that are equally inclined with the coordinate axis and and which passes through $(-1,2,3)$ is?

$\begin{array}{1 1} (a)\;x-1=y+2=z+3\\(b)\;x+1=y-2=z-3 \\ (c)\;\large\frac{x}{-1}=\large\frac{y}{2}=\frac{z}{3} \\ (d)\;\large\frac{x}{1}=\frac{y}{2}=\frac{z}{3} \end{array}$

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• $d.r.$ of the line making equal angle with coordinate axis is $(1,1,1)$
$d.r.$ of the line $\overrightarrow b$ is $(1,1,1)$ and point on the line $\overrightarrow a=(-1,2,3)$
$\therefore$ Eqn. of the line is $\large\frac{x+1}{1}=\frac{y-2}{1}=\frac{z-3}{1}$
edited Sep 29, 2014
Cool ! Very impressive.