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?

$(2+3\text{i})\phi13$
$3\phi(-3)$
$(1+\text{i})\phi2$
$\text{i}\phi1$

✓

Answer

$\text{i}\phi1$

Solution:

$\because\ |2+3\text{i}|=\sqrt{13}\neq13$

$|3|\neq-3$

$|1+\text{i}|=\sqrt{2}\neq2$

and $|\text{i}|=1$

So, $(\text{i, }1)\in\phi$

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