Find the equation of the circle which passes through two points on the x-axis which are at distances 4 from the origin and whose radius is 5.

Explanation

There are two circles which pass through two points A and A' on the x-axis which are at a distance of `4 `units from the origin.


The center of these circles lie on the` y-`axis


In `\triangle {OAC}, {AC}^{2}={OA}^{2}+{OC}^{2}`



`\Rightarrow 5^{2}=4^{2}+{OC}^{2} \Rightarrow {OC}^{2}=5^{2}-4^{2}=25-16=9`
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