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Prove that the line segment joining the points of contact of two parallel tangent of a circle, passes through its centre.

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REF.Image.
We have to prove the line segment joining the point of 
contact of two parallel tangents of a circle passes
through its centre.

consider & are two tangents of circle

consider & are a point of the intersection of tangents at circle and is a line segment.

is the centre of the circle


& passes through

Hence is a line passes through the centre of the circle
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Question Text
Prove that the line segment joining the points of contact of two parallel tangent of a circle, passes through its centre.
Answer TypeText solution:1
Upvotes151