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CBSE Class 10 Maths (Standard) 2016 · Paper 30/3 · Question 5

Circles 2 marks Medium
In Fig.2, a quadrilateral is drawn to circumscribe a circle, with centre , in such a way that the sides , , and touch the circle at the points , , and respectively. Prove that .
A B C D P Q R S O
Figure 2

Answer

Using equal tangents (, , , ), both and equal , so . Proved.

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