10. Find the meeting point

In a circle with \(O\) as the centre, \(OM\) bisects the chord \(RS\). If the end-points of the chord are \((\)6, 8\()\) and \((\)8, 6\()\), find the point where \(OM\) meets the chord \(RS\).

 

\(OM\) comes in contact with the chord \(RS\) at \((\), \()\).