Prove that tangent drawn at the end of diameter of a circle are parallel
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let PQ be the diameter of the circle of centre O let AB and CD be the tangents drawn to the circle to the end point of the diameter PQ since the tangent at a point to a circle is perpendicular to radius through the point= PQ perpendicular AB and PQ perpendicular CD
=angle APQ=angle PQD
so, AB || CD
=angle APQ=angle PQD
so, AB || CD
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