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Q: What is the equation of a circle with centre of origin and radius of 6 cm?
  • A. x² + y² – x – y = 36
  • B. x² + y² – 36 = 0
  • C. x² + y² – y = 36
  • D. x² + y² – x = 36
Correct Answer: Option B - Centre of origin of circle = (0,0) Radius of the circle = 6 cm. ∴ Required equation of circle– x² + y² = r² So, (x – 0)² + (y – 0)² = 62 x² + y² = 36 x² + y² – 36 = 0
B. Centre of origin of circle = (0,0) Radius of the circle = 6 cm. ∴ Required equation of circle– x² + y² = r² So, (x – 0)² + (y – 0)² = 62 x² + y² = 36 x² + y² – 36 = 0

Explanations:

Centre of origin of circle = (0,0) Radius of the circle = 6 cm. ∴ Required equation of circle– x² + y² = r² So, (x – 0)² + (y – 0)² = 62 x² + y² = 36 x² + y² – 36 = 0