Let `z=a-i/2,a inRR " Then "|i+z|^2-|i-z|^2=`

Let z_(1)=3+4i" and "z_(2)= -1+2i . Then |z_(1)+z_(2)|^(2)-2(|z_(1)|^(2)+|z_(2)|^(2)) is equal to

Let z_(1) = 3 + 4i and z_(2) = - 1 + 2i . Then, |z_(1) + z_(2)|^(2) - 2(|z_(1)|^(2) + |z_(2)|^(2)) is equal to

Let z_(1)=2-i and z_(2)=2+i , then "Im"((1)/(z_(1)z_(2))) is

Let S = {z in C : |z - 2| = |z + 2i| = |z - 2i|} then sum_(z in S) |z + 1.5| is equal to _________

Let z_1=2-i ,z_2=-2+i . Find (i) Re ((z_1z_2)/( bar z_1)) (ii) Im (1/(z_1 bar z_1))

Let Z_(1),Z_(2) be two complex numbers which satisfy |z-i| = 2 and |(z-lambda i)/(z+lambda i)|=1 where lambda in R, then |z_(1)-z_(2)| is

Let z_1=2-i, z_2=-2+i . Find Re ((z_1z_2)/overlinez_1)

Let z_1 =3+4i and z_2 = -1+2i . Then abs(z_1+z_2)^2-2(abs(z_1)^2+abs(z_2)^2) is equal to

if z_(1)=3+i and z_(2) = 2-i, " then" |(z_(1) +z_(2)-1)/(z_(1) -z_(2)+i)| is