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A relation varphi from C to R is defined...

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

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The correct Answer is:
d) `i phi 1`
Given, a relation phi from C to R is defined by `x phi y` Leftrightarrow|x|=y
Now, `|(2+3 i)|=sqrt{2^{2}+3^{2}}=sqrt{13}`
So` (2+3 i) `and 13 are not related.
Again, since `y>0` this gives 3 not related to -3.

`|1+i|=sqrt{1+1}=sqrt{2}`

So `1+i and 2` are not related.
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