C is the complex numvers `f:CrarrR` is defined by `f(z)=|z^(3)-z+2|.` Find the maximum value of `f(z),If|z|=1.`

If |z+4|le3 then the maximum value fo |z+1| is....

f: Z rarr Z, f(n)= (-1)^(n) . Find the range of f.

If z in z and |z+3| le 8 then find the maximum and minimum value of |z-2| .

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

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

Let C be the set of complex numbers . Prove that the mapping f : C rarr R given by f(z) = |z| , AA z in C , is neither one - one nor onto .

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 satisfying the relation ∣z+1∣=z+2(1+i) then z is

The centre of circle represented by |z + 1| = 2 |z - 1| in the complex plane is