Pair Of Straight Lines Question 108

Question: The combined equation of the bisectors of the angle between the lines represented by $ (x^{2}+y^{2})\sqrt{3}= $

$ 4xy $ is

[MP PET 1992]

Options:

A) $ y^{2}-x^{2}=0 $

B) $ xy=0 $

C) $ x^{2}+y^{2}=2xy $

D) $ \frac{x^{2}-y^{2}}{\sqrt{3}}=\frac{xy}{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{x^{2}-y^{2}}{\sqrt{3}-\sqrt{3}}=\frac{xy}{-2}\Rightarrow x^{2}-y^{2}=0 $ .