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How many independent geometrical conditions are required for determining a circle?
  • a)
    Only two
  • b)
    Only one
  • c)
    At leasi three
  • d)
    exactly three
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How many independent geometrical conditions are required for determini...
The general equation of the circle
x2 + y2 + 2gx + 2fy + c = 0
involves three unknowns, namely, g, f and c. Therefore exactly three conditions are required for determining the circle and no more.
Remark: It follows that a unique circle will always pass through three non-collinear points in the plane.
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Most Upvoted Answer
How many independent geometrical conditions are required for determini...
The general equation of the circle
x2 + y2 + 2gx + 2fy + c = 0
involves three unknowns, namely, g, f and c. Therefore exactly three conditions are required for determining the circle and no more.
Remark: It follows that a unique circle will always pass through three non-collinear points in the plane.
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How many independent geometrical conditions are required for determining a circle?a)Only twob)Only onec)At leasi threed)exactly threeCorrect answer is option 'D'. Can you explain this answer?
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