The locus of a point (x, y, z) which moves such that its distance from the origin is constant, represents: A. A plane B. A straight line C. A sphere D. A circle Answer: C) A sphere Explanation: Distance from origin is √(x² + y² + z²) = r. Squaring gives x² + y² + z² = r², which is the equation of a sphere.

imo class 12 three dimensional geometry

The locus of a point (x, y, z) which moves such that its distance from the origin is constant, represents:

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The locus of a point (x, y, z) which moves such that its distance from the origin is constant, represents:

Answer: C) A sphere

Explanation: Distance from origin is √(x² + y² + z²) = r. Squaring gives x² + y² + z² = r², which is the equation of a sphere.