Let \( z_{1}, z_{2}, z_{3} \) are three pair wise distinct complex numbers and \( t_{1}, t_{2}, ...

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Let \( z_{1}, z_{2}, z_{3} \) are three pair wise distinct complex numbers and \( t_{1}, t_{2}, t_{3} \) are non-negative real numbers such that \( t_{1}+t_{2}+ \) \( t_{3}=1 \). Prove that the complex number \( z=t_{1} z_{1}+t_{2} z_{2}+t_{3} z_{3} \) lies inside a triangle with vertices \( z_{1}, z_{2}, z_{3} \) or on its boundry.
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