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If the circles x2+y2+(3+sinβ)x+(2cosα)y=0 and x2+y2+(2cosα)x+2cy=0,α,β∈[0,2π),c∈R touch each other, then the maximum value of c is

Answer» If the circles x2+y2+(3+sinβ)x+(2cosα)y=0 and x2+y2+(2cosα)x+2cy=0,α,β[0,2π),cR touch each other, then the maximum value of c is


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