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Let z1,z2, z3, zn be the complex numbers...

Let `z_1,z_2, z_3, z_n` be the complex numbers such that `|z_1|=|z_2|=|z_n|=1.` If `z=(sum_(k=1)^n z_k)(sum_(k=1)^n1/(z_k))` then proves that `z` is a real number

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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