Let `|z_1|=|"z"_2|="p"/2 ` then ` "|z_1+z_2|^2+|z_1-z_2|^2=` a.`p^2` b. `(p^2)/2` c. `2p^2` d. `(p^2)/4`

If |z_1|=|z_2|=1, then prove that |z_1+z_2| = |1/z_1+1/z_2∣

If z_1=2-i ,z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)|

If z_1=2-i ,\ z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)|

If z_1=2-i ,z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)|

If z_1=2-i ,\ z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)| .

If z_1,z_2,z_3 be the vertices of a triangle ABC such that |z_1|=|z_2|=|z_3| and |z_1+z_2|^2= |z_1|^2+|z_2|^2, then |arg, ((z_3-z_1)/(z_3-z_2))|= (A) pi/2 (B) pi/3 (C) pi/6 (D) pi/4

If z_1, z_2 in C , then say which are true and false - . |z_1+z_2|^2=|z_1""|^2+|z_2|^2-2R e(z_1 z_2) |z_1-z_2|^2=|z_1""|^2-|z_2|^2-2R e(z_1 z_2) |z_1+z_2|^2+|z_1-z_2|^2=2(|z_1|^2+|z_2|^2) |a z_1-b z_2|^2+|b z_1+a z_2|^2=(a^2+b^2)(|z_1|^2+|z_2|^2) , where a ,b in Rdot

If z_1,z_2,z_3 be the vertices A,B,C respectively of triangle ABC such that |z_1|=|z_2|=|z_3| and |z_1+z_2|=|z_1-z_2| then C= (A) pi/2 (B) pi/3 (C) pi/6 (D) pi/4

If |z_1|=1a n d|z_2|=2,t h e n Max (|2z_1-1+z_2|)=4 Min (|z_1-z_2|)=1 |z_2+1/(z_1)|lt=3 Min (|z_1=z_2|)=2

If z_(1)=3 + 4i,z_(2)= 8-15i , verify that |z_(1) + z_(2)|^(2) + |z_(1)-z_(2)|^(2)= 2(|z_(1)|^(2) + |z_(2)|^(2))