If \( z_{1}, z_{2}, z_{3} \) be vertices of an isosceles \( \Delta \) right angled at \( z_{2} \...

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If \( z_{1}, z_{2}, z_{3} \) be vertices of an isosceles \( \Delta \) right angled at \( z_{2} \), then prove that \( z_{1}^{2}+2 z_{2}^{2}+z_{3}^{2}=2 z_{2}\left(z_{1}+z_{3}\right) \).
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