Coordinate Geometry - Finding the Centre and Radius of a Circle

Coordinate Geometry - Finding the Centre and Radius of a Circle

TGM Original Questions
  1. Find the radius and coordinates of the centre of the circle \(x^2 + y^2 - 4x - 6y - 12 = 0\).
  2. Given that \(AB\) is a diameter of this circle, where \(A\) is the point \((2, 8)\), find the coordinates of the point \(B\).

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Answer:(a) Centre: \( (2,3) \); Radius \(= 5\) (b) \(B = (2,-2)\)

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