Pair Of Straight Lines Question 103

Question: The equation of the bisectors of the angle between the lines represented by the equation $ x^{2}-y^{2}=0 $ , is

Options:

A) $ x=0 $

B) $ y=0 $

C) $ xy=0 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

By the formula for equation of bisector $ \frac{x^{2}-y^{2}}{1-(-1)}=\frac{xy}{(0)}\Rightarrow xy=0 $ (By cross-multiplication).