Pair Of Straight Lines Question 74

Question: Pair of straight lines perpendicular to each other represented by

[Roorkee 1990]

Options:

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

B) $ x^{2}+y^{2}+3=0 $

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

D) $ x^{2}=2(x-y) $

Show Answer

Answer:

Correct Answer: A

Solution:

Since $ 2x^{2}=2y(2x+y)\Rightarrow x^{2}-2xy-y^{2}=0 $ .

Hence, coefficient of $ x^{2}+ $ coefficient of $ y^{2}=1-1=0 $ .

Hence the lines are perpendicular.