Coordinate Geometry - Finding the Centre and Radius of a Circle

Coordinate Geometry - Finding the Centre and Radius of a Circle

A circle has equation \({{x}^{2}}+{{y}^{2}}+4x-12y+15=0\ .\)

  1. Find the centre and the radius of the circle.
  2. Is the point \(\left( 0,2 \right)\) inside the circle? Explain your answer clearly.

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Answer:(a) Centre \(=(-2,6)\), radius \(=5\) (b) \((0,2)\) lies inside the circle.

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