If z is non zero complex number, such that 2i `z^(2) = bar(z),`then |z| is

If z is a complex number such that z=-bar(z) then

Let z = x + iy be a non - zero complex number such that z^(2) = I |z|^(2) , where I = sqrt(-1) then z lies on the :

If z and w are two non-zero complex numbers such that z=-w.

If z is a complex number such taht z^(2)=(bar(z))^(2) then find the location of z on the Argand plane.

If z be a non-zero complex number, show that (bar(z^(-1)))= (bar(z))^(-1)

Let z_(1),z_(2) and z_(3) be non-zero complex numbers satisfying z^(2)=bar(iz), where i=sqrt(-1). What is z_(1)+z_(2)+z_(3) equal to ?

Let z_(1), z_(2), z_(3) be three non-zero complex numbers such that z_(1) bar(z)_(2) = z_(2) bar(z)_(3) = z_(3) bar(z)_(1) , then z_(1), z_(2), z_(3)