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JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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The condition for the coaxial system x2+y2+2λx+c=0{x^2} + {y^2} + 2\lambda x + c = 0, where λ\lambda is a parameter and cc is a constant to have distinct limiting points, is
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Correct option: D
c>0c > 0
The correct answer is c>0c > 0 because the condition for distinct limiting points in a coaxial system requires the radius of the circles to be real, which implies that cc must be positive.

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