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If A(2, 4) and B(6, 10) are two fixed po...

If A(2, 4) and B(6, 10) are two fixed points and if a point P moves so that `angleAPB` is always a right angle, then the locus of P is

A

`x^(2) + y^(2) + 8x + 14y + 52 = 0`

B

`x^(2) + y^(2) - 8x - 14y - 52 = 0`

C

`x^(2) + y^(2) + 8x - 14y + 52 = 0`

D

`x^(2) + y^(2) - 8x - 14y + 52 = 0`

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The correct Answer is:
D
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