JEE Advance - Mathematics (2002 - No. 17)

Let $$P = \left( { - 1,\,0} \right),\,Q = \left( {0,\,0} \right)$$ and $$R = \left( {3,\,3\sqrt 3 } \right)$$ be three points.
Then the equation of the bisector of the angle $$PQR$$ is
$${{\sqrt 3 } \over 2}x + y = 0$$
$$x + \sqrt 3 y = 0$$
$$\sqrt 3 x + y = 0$$
$$x + {{\sqrt 3 } \over 2}y = 0$$

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