Pair Of Straight Lines Question 99

Question: The equation to the pair of straight lines through the origin which are perpendicular to the lines $ 2x^{2}-5xy+y^{2}=0, $ is

[MP PET 1990]

Options:

A) $ 2x^{2}+5xy+y^{2}=0 $

B) $ x^{2}+2y^{2}+5xy=0 $

C) $ x^{2}-5xy+2y^{2}=0 $

D) $ 2x^{2}+y^{2}-5xy=0 $

Show Answer

Answer:

Correct Answer: B

Solution:

In this case coefficient of $ x^{2} $ and $ y^{2} $ are inter-changed and sign of h is changed.