For α,β∈R, if the circles x2+y2+(3+sinβ)x+(2cosα)y=0 and x2+y2+( – InterviewSolution

1.	For α,β∈R, if the circles x2+y2+(3+sinβ)x+(2cosα)y=0 and x2+y2+(2cosα)x+2cy=0 touch each other, then the maximum value of c is
Answer» For $α, β \in R,$ if the circles $x^{2} + y^{2} + (3 + sin β) x + (2 cos α) y = 0$ and $x^{2} + y^{2} + (2 cos α) x + 2 c y = 0$ touch each other, then the maximum value of $c$ is

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