A light ray emits from the origin making an angle of 30^° with the positive x-axis. After getting reflected by…

Question

A light ray emits from the origin making an angle of $30^\circ$ with the positive $x$ -axis. After getting reflected by the line $x + y = 1$ , if this ray intersects the $x$ -axis at Q, then the abscissa of Q is:

A
$\frac{2}{\sqrt{3} - 1}$
B
$\frac{2}{3 + \sqrt{3}}$
C
$\frac{2}{3 - \sqrt{3}}$
D
$\frac{\sqrt{3}}{2\left(\sqrt{3} + 1\right)}$

Accepted Answer

B. $$\frac{2}{3 + \sqrt{3}}$$

Answer

A. $$\frac{2}{\sqrt{3} - 1}$$

Answer

C. $$\frac{2}{3 - \sqrt{3}}$$

Answer

D. $$\frac{\sqrt{3}}{2\left(\sqrt{3} + 1\right)}$$

Answer & step-by-step solution

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