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

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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

P Q = 4

then the locus of mid-point of PQ is a circle of radius

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Question Text

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

P Q = 4

then the locus of mid-point of PQ is a circle of radius

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