Home
Class 11
MATHS
Let P = (-1, 0), Q = (0, 0) and R = (3, ...

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

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 slope of QR is `(3sqrt(3)-0)//(3-0) = sqrt(3)`
`i.e., theta =60^(@)`
`"Clearly," anglePQR = 120^(@)`.
AQ is the angle bisector of the angle. So, line AQ makes `120^(@)` with the positive direction of the x-axis. Therefore, the equation of the bisector of `anglePQR` is
`y=x"tan" 120^(@) " or " y=-sqrt(3)x, i.e., sqrt(3)x+y=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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