If `z=(1+i)/(√2)`, then the value of `z^(1929)` is

If |z+1|=z+2(1+i) then find the value of z.

If |z|=1 and z!=+-1, then all the values of z/(1-z^2) lie on

If complex number z(zne2) satisfies the equation z^(2)=4z+|z|^(2)+(16)/(|z|^(3)) , then what is the value of |z|^(4) ?

If z is a complex number such that |z|>=2 then the minimum value of |z+1/2| is

If z is any complex number satisfying abs(z-3-2i) le 2 , where i=sqrt(-1) , then the minimum value of abs(2z-6+5i) , is

If |z-4/z|=2 then the greatest value of |z| is

If z_(1),z_(2)inC,z_(1)^(2)+z_(2)^(2)inR,z_(1)(z_(1)^(2)-3z_(2)^(2))=2 and z_(2)(3z_(1)^(2)-z_(2)^(2))=11, the value of z_(1)^(2)+z_(2)^(2) is

If z=(1+7i)/((2-i)^(2) then......

If |z|ge3, then determine the least value of |z+(1)/(z)| .

If |z_(1)|=1(z_(1) ne -1) and z_(2)=(z_(1)-1)/(z_(1)+1) then show that the real part of z_(2) is zero.