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Question
Obtain the equation of the circles with radius 5 cm and touching x-axis at the origin in general form
Solution
Given radius = 5 cm and the circle is touching x-axis
So centre will be (0, ± 5) and radius = 5
The equation of the circle with centre (0, ± 5) and radius 5 units is
(x – 0)2 + (y ± 5)2 = 52
(i.e) x2 + y2 ± 10 y + 25 – 25 = 0
(i.e) x2 + y2 ± 10y = 0
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