Pair Of Straight Lines Question 101

Question: The equation of the bisectors of the angle between lines represented by equation $ 4x^{2}-16xy-7y^{2}=0 $ is

Options:

A) $ 8x^{2}+11xy-8y^{2}=0 $

B) $ 8x^{2}-11xy-8y^{2}=0 $

C) $ 16x^{2}+11xy-16y^{2}=0 $

D) $ 16x^{2}+11xy+16y^{2}=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{x^{2}-y^{2}}{11}=\frac{xy}{-8}\Rightarrow 8x^{2}+11xy-8y^{2}=0 $ .