14.Find the equation of the circle with radius 5, whose centre lies on x-axis and passing through the point (2, 3).
The centre of the circle lies on x-axis. Its co-ordinates can be supposed as (h, 0) The circle passes through point A (2, 3) and has a radius 5.
CA = 5
When h = 6, the centre of circle is radius of circle = 5
∴ 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 or Hence, the equation of circle is:
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