.Find the equation of a circle with centre & touching axis?
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Step-by-step explanation:
The equation of a circle with centre at (h, k) and radius equal to a, is (x - h)2 + (y - k)2 = a2
When the circle touches x-axis i.e., k = a.
Then the equation (x - h)2+ (y - k)2 = a2 becomes (x- h)2+ (y - a)2 = a2
If a circle touches the x-axis, then the y-co-ordinate of the centre will be equal to the radius of the circle. Hence, the equation of the circle will be of the form
(x - h)2 + (y - a)2 = a2
Hence the equation of the circle is (x - h)2 + (y - a)2 = a2 ⇒ x2 + y2 - 2hx - 2ay + h22 = 0
note-the 2 after an equation for example is (x-h)2 is (x-h) square. or a2 is square
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