Complex number geometry

Geometry Level 5

Let z1,z2,z_1, z_2, and z3z_3 be complex numbers satisfying ∣z−i3∣=1|z-i\sqrt{3}|=1 and 3z1+i3=2z2+2z33z_{1}+i\sqrt{3}=2z_{2}+2z_{3}.

Find ∣z1−z2∣\large{|z_{1}-z_{2}|}

Tanishq Varshney by Tanishq Varshney
×

Problem Loading...

Note Loading...

Set Loading...