If A and B be the points and

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

4. If A and B be the points (3,4,5)(3,4,5) and (−1,3,−7)(-1,3,-7), respectively, find the equation of the set of points P such that PA2+PB2=k2\mathrm{PA}^{2}+\mathrm{PB}^{2}=k^{2}, where kk is a constant.

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