Question
Question: Let P = (− 1, 0), Q = (0, 0) and R = (3, 3\(\sqrt { 3 }\)) be three points. Then the equation of the...
Let P = (− 1, 0), Q = (0, 0) and R = (3, 33) be three points. Then the equation of the bisector of the angle PQR is
A
23x + y = 0
B
x + 3y = 0
C
3x + y = 0
D
x + 23y = 0
Answer
x + 3y = 0
Explanation
Solution
tanθ = 3 ⇒ θ = 600
⇒ ∠PQR = 1200
⇒ bisector will have slope tan 1200
⇒ equation of bisector is
3x + y = 0.