A relation from C to R is defined by x y |x|=y. Which one is corr… - Vidyadip

Question

A relation $\phi$ from C to R is defined by $\text{x }\phi\text{ y}\Leftrightarrow|\text{x}|=\text{y}.$ Which one is correct?

$(2+3\text{i})\ \phi\ 13$
$3\phi\ (-3)$
$(1+\text{i})\ \phi\ 2$
$\text{i}\ \phi\ 1$

✓

Answer

$\text{i}\ \phi\ 1$

Solution:

We have,

$|\text{i}|=\sqrt{1^2+0^2}=1$

Thus, $\text{i }\phi\ 1$ satisfies $\text{x}\ \phi\text{ y}\Leftrightarrow|\text{x}|=\text{y}$

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