If `2(x^(2)+y^(2))+4 lambda x + lambda^(2)=0` represents a circle of meaningful radius, then the range of real values of `lambda`, isA. RB. `(0, oo)`C. `(-oo, 0)`D. none of these

If `2(x^(2)+y^(2))+4 lambda x + lambda^(2)=0` represents a circle of m

1.	If `2(x^(2)+y^(2))+4 lambda x + lambda^(2)=0` represents a circle of meaningful radius, then the range of real values of `lambda`, isA. RB. `(0, oo)`C. `(-oo, 0)`D. none of these
Answer» Correct Answer - A We have, `2(x^(2)+y^(2))+4lambdax + lambda^(2)=0 rArr x^(2)+y^(2)+2lambda x + (lambda^(2))/(2)-0` This equation will represent a circle of meaningful radius if `lambda^(2)+0-(lambda^(2))/(2) ge 0 rArr (lambda^(2))/(2) ge 0`, which is true for all `lambda in R`.

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If `2(x^(2)+y^(2))+4 lambda x + lambda^(2)=0` represents a circle of meaningful radius, then the range of real values of `lambda`, isA. RB. `(0, oo)`C. `(-oo, 0)`D. none of these

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