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STD 11 - 4.1 complex nubers — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 4.1 complex nubers1 Mark
MCQ
$\left| {(1 + i)\frac{{(2 + i)}}{{(3 + i)}}} \right| = $
  • A
    $ - \frac{1}{2}$
  • B
    $\frac{1}{2}$
  • ✓
    $1$
  • D
    $ - 1$
✓

Answer

Correct option: C.
$1$
c
(c)$\left| {(1 + i)\frac{{(2 + i)}}{{(3 + i)}}} \right| = |1 + i|\left| {\frac{{2 + i}}{{3 + i}}} \right| = \frac{{\sqrt 2 \times \sqrt 5 }}{{\sqrt {10} }} = 1$
.

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