Let `z` be a complex number having the argument `theta,0

Let z be a complex number having argument greater than 0 but less than 'pi/2' and satisfying equation (z-5i)(barz+5i)=25 then cot theta-10/z is equal to

Let z=i^(3)(1+i) be a complex number. What is its argument ?

The complex number z having least positive argument which satisfy the condition |z-25i|<=15 is

Let Z be a complex number satisfying the relation Z^(3)+(4(barZ)^(2))/(|Z|)=0 . If the least possible argument of Z is -kpi , then k is equal to (here, argZ in (-pi, pi] )

The complex number having least positive argument and satisying |z-5i| le 3 , is

If z is a complex number of unit modulus and argument theta , then arg((1+z)/(1+bar(z))) equals to

If z is a complex number of unit modulus and argument theta , then the real part of (z(1-barz))/(barz(1+z)) , is