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x^2 +y^2 = 16 and x^2 +y^2=36 are two ci...

`x^2 +y^2 = 16 and x^2 +y^2=36` are two circles. If `P and Q` move respectively on these circles such that `PQ=4` then the locus of mid-point of `PQ` is a circle of radius

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