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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

The point on the y-axis equidistant from A(3, 1, 2) and B(5, 5, 2) is:

Answer: (0, 5, 0).

  • A (0, 3, 0)
  • B (0, 0, 5)
  • C (5, 0, 0)
  • D (0, 5, 0)

Correct answer: D. (0, 5, 0)

Explanation: Let the point be (0, y, 0). Equating squared distances: 9 + (y−1)² + 4 = 25 + (y−5)² + 4, which simplifies to 8y = 40, so y = 5.

zxyOP(x, y, z)first octant:x>0, y>0, z>0

Concept context

Coordinate axes and planes in space, octants, distance between two points, and the section formula

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