📐 Mathematics · Introduction to Three Dimensional Geometry · JEE

If the point (x, 0, 0) is equidistant from (1, 2, 3) and (3, 2, 1), then x equals:

Answer: 0.

Correct answer: C. 0

Explanation: Equating squared distances: (x−1)² + 4 + 9 = (x−3)² + 4 + 1, so x² − 2x + 14 = x² − 6x + 14. The x² and constant terms cancel, leaving 4x = 0, hence x = 0 - the origin.

Concept context

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

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If the point (x, 0, 0) is equidistant from (1, 2, 3) and (3, 2, 1), then x equals:

Concept context

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