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Let P=(-1,0), Q=(0,0) and R=(3,33) be three points. Then the equation of the bisector of the angle PQR is

 

a
32+y=0
b
x+3y=0
c
3x+y=0
d
x+32y=0

detailed solution

Correct option is C

Let the equation of QS, the bisector of angle PQR be y = mx.Slope of QR=3=tan60°⇒    PQR=120°⇒  PQS=60°⇒m=-tan60°=-3 and thus the required equation ofthe bisector to is 3x+y=0.

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