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

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asked Feb 4, 2018 in Mathematics by Kundan kumar (49,132 points) ● 34 ● 380 ● 1014
Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

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answered Feb 4, 2018 by Vikash Kumar (144,729 points) ● 8 ● 11 ● 21
 
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Let AB be the diameter of the given circle with centre O, and two tangents PQ and LM are drawn at the end diameter. AB respectively.
Now, since the tangent at a point to a circle is perpendicular to the radius through the point of contact.

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