A line makes equal angles with coordinate axis. Direction cosines of the line are:

$\pm\left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right)$

The correct answer is Option (2) - $\pm\left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right)$

as line makes equal angles

$DC = l, m, n$

$l=m=n$

$l^2+m^2+n^2=1$

$3l^2=1⇒l=±\frac{1}{\sqrt{3}}$

$DC=±\left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right)$