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4.   Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

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Let line p and line q are two tangents of a circle and AB is the diameter of the circle.
OA and OB are perpendicular to the tangents p and  q respectively.
therefore,
 \angle1 = \angle2 = 90^0

\Rightarrow p || q {  \angle\because1  &  \angle2 are alternate angles}

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