Question

The amplitude of the complex number

$|z_{1} + z_{2}|$ is.

• A. $|z_{1}| - |z_{2}|$
• B. $\left( \frac{3 + 2i}{3 - 2i} \right)$
• C. $\sqrt{2}$
• D. None of these

Answer 1

Answer: (B)

$\left( \frac{3 + 2i}{3 - 2i} \right)$

Answer 2

$= |z_{1}|(\cos\theta + i\sin\theta)$

⇒ $(\because|z_{1}| = |z_{2}|)$

$z_{1} + z_{2} = 0$.