First slide

Equation of line in Straight lines

Question

Let $P = (- 1, 0), Q = (0, 0)$ and $R = (3, 3 \sqrt{3})$ be three points. Then the equation of the bisector of the angle $P Q R$ is

Moderate

A

$\frac{\sqrt{3}}{2} + y = 0$
B

$x + \sqrt{3} y = 0$
C

$\sqrt{3} x + y = 0$
D

$x + \frac{\sqrt{3}}{2} y = 0$

Solution

Let the equation of $Q S$ , the bisector of angle $P Q R b e y = m x .$
Slope of $Q R = \sqrt{3} = \tan 60 °$
$\Rightarrow P Q R = 120 ° \Rightarrow P Q S = 60 °$
$\Rightarrow m = - \tan 60 ° = - \sqrt{3}$ and thus the required equation of
the bisector to is $\sqrt{3} x + y = 0 .$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App