Let z1 ,z2,z3 be three pairwise distinct complex numbers and t1,t2,t3 are non-negative real numbers such that t1+t2+t3=1.Prove that complex number z=t1z1+t2z2+t3z3 lies inside a triangle with vertices z1,z2,z3 on its boundary.
Let z1 ,z2,z3 be three pairwise distinct complex numbers and t1,t2,t3 are non-negative real numbers such that t1+t2+t3=1.Prove that complex number z=t1z1+t2z2+t3z3 lies inside a triangle with vertices z1,z2,z3 on its boundary.
Ayush Patel , 9 Years ago
Grade 12th pass
