when does following two circles intersect at two distinct points?

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In the following question what will be the radius if two circles intersect at two distinct pointsQuestion : The circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect at two distinct points. Which of the following is correct? r=1 1<r<2 r=2 2<r<8Solution :The circles \[\left(x-1\right)^2+\left(y-3\right)^2=r^2\]…

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