Consider four complex numbers

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

Consider four complex numbers z1=2+2iz_1 = 2 + 2i , z2=2−2i,z3=−2−2iz_2 = 2 - 2i, z_3 = -2 - 2i and z4=−2+2iz_4 = -2 + 2i , where i=−1i = \sqrt{-1} .Statement-1 z1,z2,z3z_1, z_2, z_3 and z4z_4 constitute the vertices of a square on the complex plane Statement-2 The non-zero complex numbers z,zˉ,−z,−zˉz, \bar{z}, -z, -\bar{z} always constitute the vertices of a square.

Related theory

Browse the problem library