Prove that the perpendicular at the point of contact to tangent to a circle passes through centre.

Asked by  | 10th Mar, 2008, 03:12: PM

Expert Answer:

line  l is tgt to the circleat P. O is the centre of the circle.OP=radius of the circle.If we hav some points Q1,Q2  etc. on l then we find that OP is the shorter distance from O in comparison to the distance OQ!,OQ2,etc. There fore OP is perpendicular to  l. Hence the perpendicular OP drawn to the tangentline at P passes through the centre O of the circle.

Answered by  | 16th Apr, 2008, 01:31: PM

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