Grade 12th passAlgebra
Let z1,z2,z3 are three pairwise distinct complex numbers and t1,t2,t3 are non negative real numbers such that t1+t2+t3=1. prove that the complex number z=t1z1+t2z2+t3z3 lies inside a triangle with vertices z1,z2,z3 or on its boundary .
Let z1,z2,z3 are three pairwise distinct complex numbers and t1,t2,t3 are non negative real numbers such that t1+t2+t3=1. prove that the complex number z=t1z1+t2z2+t3z3 lies inside a triangle with vertices z1,z2,z3 or on its boundary .
