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Find the equation of a circle with centre ` (h, k)` and touching the x -axis.

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Find the equation of a circle with centre ` (h, k)` and touching the x -axis.
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Clearly, the radius of the circle =k
So, the required equation is
` ( x - h ) ^(2) + ( y- k ) ^(2) = k ^(2)`
` rArr x ^(2) + y ^(2) - 2hx - 2k y + h ^(2) = 0 `
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