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Question

Question: \(\left| (1 + i)\left( \frac{2 + i}{3 + i} \right) \right|\) is equal to-...

∣(1+i)(2+i3+i)∣\left| (1 + i)\left( \frac{2 + i}{3 + i} \right) \right| is equal to-

A

–12\frac{1}{2}

B

12\frac{1}{2}

C

1

D

–1

Answer

1

Explanation

Solution

Sol. ∣1+i∣×∣2+i∣∣3+i∣\frac{|1 + i| \times |2 + i|}{|3 + i|}=2×510\frac{\sqrt{2} \times \sqrt{5}}{\sqrt{10}}= 1