Find the equation of set of points P such that PA 2 + PB 2 = 2 k 2 , where A and B are…
Mathematics · Class 11 · CBSE — Introduction to Three-dimensional Geometry
Find the equation of set of points P such that
PA2 + PB2 = 2k2, where A and B are the points (3, 4, 5) and (–1, 3, –7), respectively.
PA2 + PB2 = 2k2, where A and B are the points (3, 4, 5) and (–1, 3, –7), respectively.
- x2 + y2 + z2 – 4x – 14y + 4z = 2k2 – 109
- 2x2 + 2y2 – 2z2 – 4x – 14y – 4z = 2k2 + 109
- 2x2 + 2y2 + 2z2 – 4x – 14y + 4z = 2k2 – 109
- None of these
Answer
(C) 2 x 2 + 2 y 2 + 2 z 2 – 4 x – 14 y + 4 z = 2 k 2 – 109
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