Question

A ray of light along $x+\sqrt{3y}=\sqrt{3}$ 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 $A{B}^{\prime }:\frac{y-0}{0+1}=\frac{x-\sqrt{3}}{\sqrt{3}-0}$
$\Rightarrow \sqrt{3}y=x-\sqrt{3}$