A line makes equal angles with coordinate axis. Direction cosines of the line are:
Answer & explanation
Correct answer: option 2
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
$DC = l, m, n$
$l=m=n$
$l^2+m^2+n^2=1$
$3l^2=1⇒l=±\frac{1}{\sqrt{3}}$
$DC=±\left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right)$