Find the equation of the circle which passes through two points on the $X$ axis which are at distances $4$units from the origin and whose radius is $5$units.
My Attempt:
As per the question, if we let the points as $A$ and $B$, then these will be the point of contact of the tangets $OA$ and $OB$, with $OA=OB=4$units.
Then what should I do? Please suggest further.
Hint: Let the center be $O$ and the two points that the circle passes through be $A$ and $B$. Since we know that $OA=OB$, what line do we know that $O$ is on? Where on the line must it be for $OA=OB=5$?