Question

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

• A. $y=x+\sqrt{3}$
• B. $\sqrt{3}y=x-\sqrt{3}$
• C. $y=\sqrt{3}x-\sqrt{3}$
• D. $\sqrt{3}y=x-1$

Answer 1

The correct option is B $\sqrt{3}y=x-\sqrt{3}$

Take any point B (0, 1) on given line. It's reflection about x-axis is B'(0,-1).


Equation of AB' is
$y-0=\frac{-1-0}{0-\sqrt{3}}(x-\sqrt{3})\Rightarrow -\sqrt{3}y=-x+\sqrt{3}\Rightarrow x-\sqrt{3}y=\sqrt{3}\Rightarrow \sqrt{3}y=x-\sqrt{3}$