This is a Test of Mathematics Solution Subjective 107 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
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If a, b and c are the lengths of the sides of a triangle ABC and if \( p_1 , p_2 \) and \( p_3 \) are the lengths of the perpendiculars drawn from the circumcentre onto the sides BC, CA and AB respectively, then show that
Let O be the circum centre
= [ as ]
( proved )