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.