If (x+i y)(2-3 i)=4+i then x+i y is equal to : - Vidyadip

MCQ

If $(x+i y)(2-3 i)=4+i$ then $x+i y$ is equal to :

A
$\frac{14}{13}+i \frac{5}{13}$
✓
$\frac{5}{13}+i \frac{14}{13}$
C
$\frac{-14}{13}+i \frac{5}{13}$
D
$\frac{5}{13}-i \frac{14}{13}$

✓

Answer

Correct option: B.

$\frac{5}{13}+i \frac{14}{13}$

(B)

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