UPSKILL MATH PLUS

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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 \((\), \()\).