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Question

Question: Argument of \(|z_{1}| = |z_{2}|\) is....

Argument of z1=z2|z_{1}| = |z_{2}| is.

A

ar⥂⥂g(z1z2)=πar ⥂ ⥂ g\left( \frac{z_{1}}{z_{2}} \right) = \pi

B

z1+z2z_{1} + z_{2}

C

0<amp (z)<π,0 < amp\ (z) < \pi,

D

(z)(z)

Answer

(z)(z)

Explanation

Solution

Let x2+y2=5\Rightarrow x^{2} + y^{2} = 5

then x2=4x=±2x^{2} = 4 \Rightarrow x = \pm 2

Clearly, z is in III quadrant.

Therefore argument

y2=1y^{2} = 1.