Circles
The equation of a circle with center (h, k) and radius r is
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About This Question
- Subject
- mathematics
- Chapter
- coordinate geometry
- Topic
- circles
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
(x-h)² + (y-k)² = r²
- Definition: A circle is the locus of a point (x,y) that maintains a constant distance r from a fixed point (h,k).
- Apply Distance Formula: (x−h)2+(y−k)2=r.
- Square Both Sides: (x−h)2+(y−k)2=r2.
- Result: This is the 'Standard Form' of a circle's equation. If the center is at the origin (0,0), it simplifies to x2+y2=r2.
This easy difficulty mathematics question is from the chapter coordinate geometry, covering the topic of circles. It appeared in the 2025 exam.
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