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JEE Math Practice Question

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 :

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

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