Mathematics

Mathematics

Problem

Let ABC be a triangle with AB=ACAB = AC and whose circumcentre is at origin. Let the vertices A, B, C are represented by the complex number z1,z2,z3z_1, z_2, z_3 respectively then STATEMENT-1 The complex number (z2+z3)2(z1+z2)(z1+z3)\frac{(z_2+z_3)^2}{(z_1+z_2)(z_1+z_3)} is real because STATEMENT-2 ∠DOF=∠EOD\angle DOF = \angle EOD where O is origin and D, E, F are respectively the midpoints of the sides BC, CA and AB. A. Statement-1 is True, Statement-2 is True. B. Statement-1 is False, Statement-2 is False. C. Statement-1 is True, Statement-2 is False. D. Statement-1 is False, Statement-2 is True.

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