If `|z_1|=15a d n|z_2-3-4i|=5,t h e n` a.`(|z_1-z_2|)_(min)=5` b. `(|z_1-z_2|)_(min)=10` c. `(|z_1-z_2|)_(m a x)=20` d. `(|z_1-z_2|)_(m a x)=25`

If z_1=7+6i,z_2=2+2i and z_3=1-4i then find z_1-z_2+z_3

If |z_1|=1,|z_2|=1 then prove that |z_1+z_2|^2+|z_1-z_2|^2 =4.

If |z_1-1|=Re(z_1),|z_2-1|=Re(z_2) and arg (z_1-z_2)=pi/3, then Im (z_1+z_2) =

If z_1 = 3i and z_2 = -1 -i , find the value of arg z_1/z_2 .

If z_1=7+3i and z_2=-7+3i then find the following: z_1/z_2

If z_1=5+12 ia n d|z_2|=4,t h e n (a)maximum (|z_1+i z_2|)=17 (b)minimum (|z_1+(1+i)z_2|)=13+4sqrt(2) (c)minimum |(z_1)/(z_2+4/(z_2))|=(13)/4 (d)maximum |(z_1)/(z_2+4/(z_2))|=(13)/3

If |z_1+z_2|=|z_1-z_2| and |z_1|=|z_2|, then (A) z_1=+-iz_2 (B) z_1=z_2 (C) z_=-z_2 (D) z_2=+-iz_1

If z_1=3−2i,z_2=2−i and z_3=2+5i then find z_1+z_2−3z_3

If z_1ne-z_2 and |z_1+z_2|=|1/z_1 + 1/z_2| then :

If |z-((1)/(z))|=1, then (|z|)_(max)=(1+sqrt(5))/(2) b.(|z|)_(m in)=(sqrt(5)-1)/(2) c.(|z|)_(max)=(sqrt(5)-2)/(2) d.(|z|)_(m in)=(sqrt(5)-1)/(sqrt(2))