Mathematics

Mathematics

Problem

If z1,z2z_1, z_2 and z3,z4z_3, z_4 are two pairs of conjugate complex numbers, then arg⁡(z1z4)+arg⁡(z2z3)\arg\left(\frac{z_1}{z_4}\right) + \arg\left(\frac{z_2}{z_3}\right) equals to a. 0 b. π2\frac{\pi}{2} c. π\pi d. 3π2\frac{3\pi}{2}

Browse the problem library