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A relation varphi from C\ to\ R is defin...

A relation `varphi` from `C\ to\ R` is defined by `xvarphiyhArr|x|=ydot` Which one is correct? `(2+3i)varphi13` b. `3varphi(-3)` c. `(1+i)varphi2` d. `ivarphi1`

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Given, a relation `varphi` from C to R is defined by `xvarphiyhArr|x|=ydot`
Now,
`sqrt(∣(2+3i)∣)=sqrt(2^2+3^2) ​=13`
​ So (2+3i) and 13 are not related.
Again, since y>0 this gives 3 not related to −3.
`sqrt(∣1+i∣)=sqrt(1+1) ​=2`
...
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