Question

A relation $Ï•$ from C to R is defined by $xÏ•y⇔âˆ\pounds xâˆ\pounds =y$. Which one is correct?

• A. $(2+3i)Ï•13$
• B. $3Ï•(−3)$
• C. $(1+i)Ï•2$
• D. $iÏ•1$

Answer 1

Answer: (D)

We have
$âˆ\pounds 2+3iâˆ\pounds =\sqrt{2^2+3^2}=\sqrt{13}î€=13,$
$âˆ\pounds 3âˆ\pounds =3î€=−3$
$âˆ\pounds 1+iâˆ\pounds =\sqrt{1+1^2}=\sqrt{2}î€=2$
$âˆ\pounds iâˆ\pounds =1$
$∴iϕ1$