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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15th Nov, 2020
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