The co-ordinates of the points A and B are (2, 3, 4) (-2, 5,-4) respectively. If a point P moves so that \[P{{A}^{2}}-P{{B}^{2}}=k\] where k is a constant, then the locus of P is

The co-ordinates of the points A and B are (2, 3, 4) (-2, 5,-4) respec

1.	The co-ordinates of the points A and B are (2, 3, 4) (-2, 5,-4) respectively. If a point P moves so that \[P{{A}^{2}}-P{{B}^{2}}=k\] where k is a constant, then the locus of P is
A.	A line
B.	A plane
C.	A sphere
D.	None of these
Answer» C. A sphere

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The co-ordinates of the points A and B are (2, 3, 4) (-2, 5,-4) respectively. If a point P moves so that \[P{{A}^{2}}-P{{B}^{2}}=k\] where k is a constant, then the locus of P is

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