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Question

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

A
32x+y=0
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B
x+3y=0
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C
3x+y=0
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D
x+32y=0.
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Solution

The correct option is C 3x+y=0
Given: The coordinates of points P,Q,R are (1,0),(0,0),(3,33) respectively.


Slope of QR =y2y1x2x1=333tanθ=3θ=π3RQX=π3RQP=π=π3=2π3
Let QM bisects the PQR.
Slope of the line QM=tan2π3=3
Equation of line QM is (y0)=3(x0)
y=3x3x+y=0

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