UPSKILL MATH PLUS

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1. In figure, common tangents \(AB\) and \(CD\) to two circles intersect at \(E\). Prove that \(AB = CD\).
 
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2. A chord \(PQ\) of a circle is parallel to the tangent drawn at a point \(R\) of the circle. Prove that \(R\) bisects the arc \(PRQ\).
 
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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.