if 2x2+y2+4λx+λ2=0 represents a circle ofmeaningful radius, then the range of real values of λ., is

We have2x2+y2+4λx+λ2=0⇒x2+y2+2λx+λ22=0This equation will represent a circle of meaningful radius ifλ2+0−λ22≥0⇒λ22≥0 which is true for all λ∈R