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.