Find the equation of the circle passing through the origin, having radius $\sqrt{5}$ and having centre on $- - \to O X$ .

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Solution

Since radius $= \sqrt{5}$ , center lies on $x -$ axis and circle passes through center, so center will be $(\sqrt{5}, 0)$
So,equation will be
$(x - \sqrt{5})^{2} + (y - 0)^{2} = (\sqrt{5})^{2}$
$(x - \sqrt{5})^{2} + (y - 0)^{2} = 5$

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