Find the equation of the set of points \( P \), the sum of whose distances from \( A(4,0,0) \) a...

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Find the equation of the set of points \( P \), the sum of whose distances from \( A(4,0,0) \) and \( B(-4,0,0) \) is equal to 10 .
(a) \( 15 x^{2}-y^{2}-z^{2}+192 x+609=0 \)
(b) \( 15 x^{2}+y^{2}-z^{2}+192 x+609=0 \)
(c) \( 15 x^{2}-y^{2}-z^{2}+192 x-609=0 \)
(d) None of these
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