Let P = ( - 1 , 0 ) , Q = ( 0 , 0 ) and R = ( 3 , 3 3 ) be three points. Then the equation of the bisector of the angle P Q R is [2002]

Question

Let $P = (- 1, 0), Q = (0, 0)$ and $R = (3, 3 \sqrt{3})$ be three points. Then the equation of the bisector of the angle $P Q R$ is [2002]

Smart Achievers · Accepted Answer

(3)

$\tan θ = \sqrt{3} \Rightarrow θ = 60 ° \Rightarrow ∠ P Q R = 120 °$

$∴$ $Slope of bisector of ∠ P Q R = \tan 120 °$

$Hence, equation of bisector is \sqrt{3} x + y = 0$

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