Sphere
The equation of sphere with center at origin and radius r is
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About This Question
- Subject
- mathematics
- Chapter
- three dimensional geometry
- Topic
- sphere
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
x² + y² + z² = r²
- Definition: A sphere is the locus of a point (x,y,z) whose distance from a fixed point (center) is constant (radius r).
- Distance Formula: Distance from (x,y,z) to (0,0,0) is x2+y2+z2.
- Equation: Set distance equal to r: x2+y2+z2=r.
- Simplification: Squaring both sides: x2+y2+z2=r2.
This easy difficulty mathematics question is from the chapter three dimensional geometry, covering the topic of sphere. It appeared in the 2025 exam.
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