Centre constrained to a straight line

Centre constrained to a straight line

Secondary 3
6 marks
TGM Original Questions

A circle passes through \(A(-1,7)\) and \(B(6,6)\). Its centre lies on the line \(y=2x-1\).

  1. Find the equation of the perpendicular bisector of \(AB\).[3]
  2. Hence find the equation of the circle.[3]

Solution:

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Answer:(a) \(y=7x-11\). (b) \((x-2)^2+(y-3)^2=25\).

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