Two lines represented by the equation x2+xy+y2=0 are
Coincident
Parallel
Mutually perpendicular
Imaginary
Find the nature of the lines :
Given,
x2+xy+y2=0
dividing the equation by x2
⇒1+yx+y2x2=0
⇒1+m+m2=0 [ m=yx]
⇒m=-1±1-42⇒m=-1±-32
Here, the slopes are imaginary
So, the lines are imaginary.
Hence, the correct option is (D).
The combined equation of the bisectors of the angle between the lines represented by (x2+y2)√3=4xy is