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Set of points P(x, y, z) such that PA² + PB² = 2k², with A = (3, 4, 5), B = (−1, 3, −7), traces
AA straight line
BA circle
CA sphere
DA plane
Answer & Solution
Correct answer: C. A sphere
PA² + PB² = 2k² expands to a quadratic in (x, y, z) with equal coefficients on x², y², z² — completing the square shows a sphere centred at the midpoint of AB.
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