Question
Find the equation of the circle with radius 5, whose centre lies on x-axis and passing through the point (2, 3).
Solution

The centre of the circle lies on x-axis.

The circle passes through point A (2, 3) and has a radius 5.

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When h = 6, the centre of circle is

∴ The equation of circle is:

or

When h = -2, the centre of circle is (-2, 0) and the radius is 5
∴ the equation of circle is:

or
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or

Hence, the equation of circle is:
