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Find the length of AB

Source: MTRP 2017 Class 11-Multiple Choice Question: Problem 9 :-

May 25, 2020
geometrytangentcircles

Problem Statement

From a point PP outside of a circle with centre OO, tangent segments PAPA and PBPB are drawn. 1OA2+1PA2=116\frac{1}{OA^2}+\frac{1}{PA^2}=\frac{1}{16} then AB=AB=
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