Answer: (0, 0, 0) only.
- A (5, 0, 0) or (−5, 0, 0)
- B (3, 0, 0) or (−3, 0, 0)
- C No such point exists
- D (0, 0, 0) only
Correct answer: D. (0, 0, 0) only
Explanation: With P = (x, 0, 0), x² + 9 + 16 = 25 gives x² = 0, so the origin is the only such point.
Concept context
Coordinate axes and planes in space, octants, distance between two points, and the section formula
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