Q. Find the modulus of $\frac{1}{1 + i} \cdot$

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A

$1$

27%

B

$3$

12%

C

$\frac{- 1}{2}$

17%

D

$\frac{1}{2}$

44%

Solution:

Let $z = \frac{1}{1 + i}$
$∴ ∣ z ∣ = ∣ ∣ \frac{1}{1 + i} ∣ ∣$
$= \frac{1}{1 + 1}$
$= \frac{1}{2}$