Classifying three points relative to a circle

Classifying three points relative to a circle

Secondary 3
5 marks
TGM Original Questions

A circle has equation \(x^2+y^2-4x+6y-12=0\).

  1. Find its centre and radius.[2]
  2. Determine whether each of \(A(3,-1)\), \(B(-1,1)\) and \(C(8,-3)\) lies inside, on or outside the circle. Justify your answers.[3]

Solution:

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Answer:(a) Centre \((2,-3)\), radius \(5\). (b) \(A\) inside, \(B\) on, \(C\) outside.

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