Pair Of Straight Lines Question 145
Question: Two lines represented by equation $ x^{2}+xy+y^{2}=0 $ are
Options:
A) Coincident
B) Parallel
C) Mutually perpendicular
D) Imaginary
Show Answer
Answer:
Correct Answer: D
Solution:
. $ x^{2}+y^{2}+xy=0\Rightarrow (x-\omega y)(x-{{\omega }^{2}}y)=0 $
$ 1,\ \omega ,\ {{\omega }^{2}} $ are cube roots of unity. Hence the lines are imaginary.