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Question

A relation ϕ from C to R is defined by xϕy|x|=y . Which one is correct?

A
(2+3i)ϕ13
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B
3ϕ(3)
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C
(1+i)ϕ2
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D
iϕ1
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Solution

The correct option is D iϕ1
ϕ:cR;xϕy|x|=y
y is always positive (B is false)
iϕ1|i|=1
(i,1) do satisfy the relation.
xϕy;|(2+3i)|=13 (A is false)
|(1+i)|=2 (c is false)

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