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Let P1,0,Q0,0, and R3,33 be three points. Then the equation of the bisector of PQR is 

a
3/2x+y=0
b
x+3y=0
c
3x+y=0
d
x+3/2y=0

detailed solution

Correct option is C

The slope of QR is 33−0/3−0=3i,e. θ=600Clearly, ∠PQR=1200AQ, is the angle bisector of the angle. So, line AQ, makes 1200 with the positive direction of the x-axis. Therefore, the equation of the bisector of ∠PQR is y=xtan1200or y=3x, i,e.,3x+y=0.

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