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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\sqrt { 3 }) be three points. Then the equation of the bisector of the angle PQR is

A

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

B

x + 3\sqrt { 3 }y = 0

C

3\sqrt { 3 }x + y = 0

D

x + 32\frac { \sqrt { 3 } } { 2 }y = 0

Answer

x + 3\sqrt { 3 }y = 0

Explanation

Solution

tanθ = 3\sqrt { 3 } ⇒ θ = 600

⇒ ∠PQR = 1200

⇒ bisector will have slope tan 1200

⇒ equation of bisector is

3\sqrt { 3 }x + y = 0.