Pair Of Straight Lines Question 105

Question: The combined equation of bisectors of angles between coordinate axes, is

Options:

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

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

C) $ xy=0 $

D) $ x+y=0 $

Show Answer

Answer:

Correct Answer: B

Solution:

Equations of axes are $ x=0,\ y=0 $ .

Combined equation is $ xy=0 $ .

Therefore, combined equation of bisectors is $ \frac{x^{2}-y^{2}}{0}=\frac{xy}{1/2}\Rightarrow x^{2}-y^{2}=0 $ .