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Let C and R denote the set of all com...

Let `C` and `R` denote the set of all complex numbers and all real numbers respectively. Then show that `f: C->R` given by `f(z)=|z|` for all `z in C` is neither one-one nor onto.

A

f is injective but not surjective

B

f is surjective but not injective

C

f is nither injective nor surjective

D

f is both injective and surjective

Text Solution

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The correct Answer is:
C
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