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The angle between a pair of tangents fro...

The angle between a pair of tangents from a point P to the circle `x^(2)+y^(2)=16" is "(pi)/(3)` and locus of P is `x^(2)+y^(2)=r^(2)`, then value of r is

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The correct Answer is:
`x^(2)+y^(2)-6x-8y-39=0`
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