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  4. A ray of light along x+√ 3 y=√ 3 gets reflected upon reaching x -axis, the equation of the reflected ray is

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Q. A ray of light along $x+\sqrt 3 \, y=\sqrt 3$ gets reflected upon reaching $x$ -axis, the equation of the reflected ray is

JEE MainJEE Main 2013Straight Lines

Solution:

Take any point $B (0,1)$ on given line.
image
Equation of $AB'$ is
$y-0= \frac {-1-0}{0-\sqrt 3}(x-\sqrt 3)$
$\Rightarrow -\sqrt 3y=-x+ \sqrt 3$
$\Rightarrow x- \sqrt 3 y= \sqrt 3$
$\Rightarrow \sqrt 3y=x- \sqrt 3$