A circle touching an axis through a given point

A circle touching an axis through a given point

Secondary 3
6 marks
TGM Original Questions

A circle has its centre on the \(y\)-axis, touches the \(x\)-axis and passes through \(P(4,2)\).

  1. Find the equation of the circle.[4]
  2. Determine whether \(Q(3,9)\) lies on the circle.[2]

Solution:

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Answer:(a) \(x^2+(y-5)^2=25\). (b) \(Q\) lies on the circle.

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