Mathematics

Mathematics

Problem

zz is a complex number satisfying ∣z−3−4i∣=α|z-3-4i| = \alpha and zaz_a and zbz_b be corresponding complex number for which ∣z+2+2i∣|z+2+2i| is minimum and maximum, respectively, then the integral values of α\alpha satisfying arg⁡(za+2+2izb−3−4i)=π/4\arg\left(\frac{z_a+2+2i}{z_b-3-4i}\right) = \pi/4 are"

Browse the problem library