Coordinate Geometry - Finding the Centre and Radius of a Circle

Coordinate Geometry - Finding the Centre and Radius of a Circle

TGM Original Questions

The equation of a circle, \(C\) is given by \(x^{2} + y^{2} - 6x + 2y + 1 = 0\).

  1. Find the coordinates of the centre, and radius of \(C\).
  2. Find the equation of the tangent that touches \(C\) at \((6, -1)\).

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Answer:(a) Centre \( = (3,-1) \) Radius \( = 3\) (b) \(x = 6\)

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