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if $2 (x^{2} + y^{2}) + 4 λ x + λ^{2} = 0$ represents a circle of
meaningful radius, then the range of real values of $λ$ ., is

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Correct option is A

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

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

if $2 (x^{2} + y^{2}) + 4 λ x + λ^{2} = 0$ represents a circle of
meaningful radius, then the range of real values of $λ$ ., is