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If z1, z2a n dz3, z4 are two pairs of co...

If `z_1, z_2a n dz_3, z_4` are two pairs of conjugate complex numbers, then find the value of `"a r g"(z_1//z_4)+a r g(z_2//z_3)dot`

A

`pi/2`

B

`pi`

C

`(3pi)/(2)`

D

0

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AI Generated Solution

To solve the problem, we need to find the value of \( \text{arg}\left(\frac{z_1}{z_4}\right) + \text{arg}\left(\frac{z_2}{z_3}\right) \), given that \( z_1, z_2 \) and \( z_3, z_4 \) are pairs of conjugate complex numbers. ### Step-by-Step Solution: 1. **Identify the Conjugate Pairs**: Since \( z_1 \) and \( z_2 \) are conjugates, we can write: \[ z_2 = \overline{z_1} ...
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