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Let P=(-1, 0), Q=(0,0) and R=(3, 3sqrt3)...

Let P=(-1, 0), Q=(0,0) and R=(3, `3sqrt3`) be three points. The equation of the bisector of the angle PQR is

A

`(sqrt(3))/(2)x+y=0`

B

`x+sqrt(3)y=0`

C

`sqrt(3)x+y=0`

D

`x+(sqrt(3))/(2)y=0`

Text Solution

Verified by Experts

The line segment `QR` makes an angle of `60^(@)` with the positive direction of `X`-axis.
So, the bisector of the angle `PQR` will make an angle of `60^(@)` with the negative direction of `X`-axis it will therefore have angle of inclination of `120^(@)` and so, its equation is
`y-0=tan120^(@)(x-0)`
`impliesy=-sqrt(3)x`
`impliesy+sqrt(3)x=0`
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