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

Question

${2 \over {\left( {\sqrt 3 - 1} \right)}}$

${2 \over {3 - \sqrt 3 }}$

${{\sqrt 3 } \over {2\left( {\sqrt 3 + 1} \right)}}$

${2 \over {3 + \sqrt 3 }}$

Solution

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