Pair Of Straight Lines Question 151
Question: The equation of the lines represented by the equation $ ab(x^{2}-y^{2})+(a^{2}-b^{2})xy=0 $ are
Options:
A) $ ax-by=0,\ bx+ay=0 $
B) $ ax-by=0,\ bx-ay=0 $
C) $ ax+by=0,\ bx+ay=0 $
D) $ ax+by=0,\ bx-ay=0 $
Show Answer
Answer:
Correct Answer: A
Solution:
$ ab(x^{2}-y^{2})+(a^{2}-b^{2})xy=0 $
$ \Rightarrow abx^{2}+a^{2}xy-b^{2}xy-aby^{2}=0 $
$ \Rightarrow ax(bx+ay)-by(bx+ay)=0 $
$ \Rightarrow (bx+ay)(ax-by)=0 $
$ \Rightarrow bx+ay=0 $ and $ ax-by=0 $ .
BETA
