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Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.
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Text solutionVerified
Draw a circle with center and take a external point P. PA and PB are the tangents.
As radius of the circle is perpendicular to the tangent.
Similarly
In Quadrilateral , sum of all interior angles
It proves the angle between the two tangents drawn from an external point to a circle supplementary to the angle subtented by the line segment
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Question Text | Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre. |
Answer Type | Text solution:1 |
Upvotes | 150 |