Let C = {x + iy|x,y ∈ R,i2= −1}, the set of complex numbers. For z = a+ib ∈ C the modulus of z is |z| = √a2 + b2and the argument of z is arg(z) = tan−1(b/a). Def i ne a relation ∼ on C as; for z1,z2∈ C,z1∼ z2if f |z1| = |z2|. 1. Prove that ∼ is an equivalenece relation.

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Let C = {x + iy|x,y ∈ R,i2= −1}, the set of complex numbers. For z = a+ib ∈ C the modulus of z is |z| = √a2 + b2and the argument of z is arg(z) = tan−1(b/a). Def i ne a relation ∼ on C as; for z1,z2∈ C,z1∼ z2if f |z1| = |z2|. 1. Prove that ∼ is an equivalenece relation.

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Siddhant Zine 12th Nov, 2020

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Anuj More 15th Nov, 2020

Dear Candidate,

The query that you are asking to prove is a mathematical statement. It is difficult for us to give you an answer. We are limited by our answering options. There are various portals on the internet where you can get a step by step answer to your query. Kindly search there to get a more understandable & detailed answer.

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