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In Fig. \(XY\) and \(X′Y'\) are two parallel tangents to a circle with centre \(O\) and another tangent \(AB\) with point of contact \(C\) intersecting \(XY\) at \(A\) and \(X′Y′\) at \(B\). Prove that \(∠AOB = 90^°\).
 
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.