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CBSE Class 10 Maths (Standard) 2017 · Paper 30/2 · Question 8

Circles 2 marks Medium
Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord.

Answer

Triangle is isosceles (), so . Subtracting each from the radius-tangent angle gives . Hence the tangents make equal angles with the chord.

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