If 1 , 2 and 3 , 4 are 2 pairs of complex conugate numbers, then 1 2 4 3 arg arg æ ö æ ö ç ÷ + ç ÷ è ø è ø equals:

Question:

If $\mathrm{z}_{1}, \mathrm{z}_{2}$ and $\mathrm{z}_{3}, \mathrm{z}_{4}$ are 2 pairs of complex conjugate numbers, then

$\arg \left(\frac{\mathrm{z}_{1}}{\mathrm{z}_{4}}\right)+\arg \left(\frac{\mathrm{z}_{2}}{\mathrm{z}_{3}}\right)$ equals:

  1. 0

  2. $\frac{\pi}{2}$

  3. $\frac{3 \pi}{2}$

  4. $\pi$


Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year Online April 11, 2014

Solution:

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