If 2(x2+y2)+4λx+λ2=0 represents a circle of meaningful radius then the range of real values of λ is
Given equation of circle
is
2(x2+y2)+4λx+λ2=0
x2+y2+2λx+λ22=0
⇒(x+λ)2+y2=λ22
Center is at (−λ,0)
Radius is |λ|√2
For a circle of meaningful radius,
r>0
⇒|λ|√2>0
⇒λ∈R−{0}
Hence, range of λ is
(−∞,0)∪(0,∞)