Coordinate Geometry - Finding the Centre and Radius of a Circle

Coordinate Geometry - Finding the Centre and Radius of a Circle

TGM Original Questions

A circle has equation \(x^2 + y^2 + 22x + 40y - 8 = 0\).

  1. Find the centre and radius of the circle.
  2. Is the point \((23, 15)\) inside the circle? Explain your answer clearly.

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Answer:(a) Centre \(= (-11, -20)\); Radius \(=23\) (b) \( (23,15)\) is outside the circle

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