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

Answer: (B)

Hint : $A \equiv(\sqrt{3}, 0)$
Let, $B(0,1)$
$\therefore B \equiv(0,-1)$
$\therefore $ Equation of $A B': \frac{y-0}{0+1}=\frac{x-\sqrt{3}}{\sqrt{3}-0} $
$\Rightarrow \sqrt{3} y=x-\sqrt{3}$