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4-1.Complex numbers
easy
$\left| {(1 + i)\frac{{(2 + i)}}{{(3 + i)}}} \right| = $
A
$ - \frac{1}{2}$
B
$\frac{1}{2}$
C
$1$
D
$ - 1$
Solution
(c)$\left| {(1 + i)\frac{{(2 + i)}}{{(3 + i)}}} \right| = |1 + i|\left| {\frac{{2 + i}}{{3 + i}}} \right| = \frac{{\sqrt 2 \times \sqrt 5 }}{{\sqrt {10} }} = 1$ .
Standard 11
Mathematics
