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mod z1 = mod z2 = mod z3 = mod(1/z1 + 1/z2 + 1/z3) = 1 find value of mod( z1 + z2 + z3)

mod z1 = mod z2 = mod z3 = mod(1/z1 + 1/z2 + 1/z3) = 1 find value of mod( z1 + z2 + z3)

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2 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Hello Student,
Please find answer to your question below

|z_{1}| = |z_{2}| = |z_{3}| = |\frac{1}{z_{1}}+\frac{1}{z_{2}}+\frac{1}{z_{3}}| = 1
|z_{1}|^{2} = 1
z_{1}.z_{1}^{*} = 1
z_{2}.z_{2}^{*} = 1
z_{3}.z_{3}^{*} = 1
|\frac{1}{z_{1}}+\frac{1}{z_{2}}+\frac{1}{z_{3}}| = 1
|z_{1}^{*}+z_{2}^{*}+z_{3}^{*}| = 1
|(z_{1}+z_{2}+z_{3})^{*}| = 1
|z_{1}+z_{2}+z_{3}| = 1


jagdish singh singh
173 Points
9 years ago
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