Let P=(−1,0),Q=(0,0) and R=(3,3√3) be three points. Then the equation of the bisector of the ∠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 The line segment QR makes an angle 600 with the positive direction of x-axis. So, the bisector of the ∠PQR will make an angle of 600 with the negative direction of x-axis.
It will therefore have angle of inclination of 1200 and so its equation is y−0=tan1200(x−0) ⇒y=−√3x ⇒√3x+y=0