Question
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 Type | Text solution:1 |
Upvotes | 151 |