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If A and B be the points (3, 4, 5) and (...

If A and B be the points (3, 4, 5) and (-1, 3, -7) respectively, find the equation of the set of points P such that `PA^(2)+PB^(2)=k^(2)`, where k is a constant.

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The correct Answer is:
`x^(2)+y^(2)+z^(2)-2x-7y+2z=(k^(2)-109)/(2)`
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