Exemplar exercise problems XIV — task. Mathematics CBSE, Class 10.

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1. In figure, common tangents

$AB$ and

$CD$ to two circles intersect at

$E$ . Prove that

$AB = CD$ .

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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40. Exemplar exercise problems XIV