Find the complex number Z, the greatest in absolute value which satisfies `|z-2 +2i| = 1`

The sum of the least and greates in absolute value of z which satisfies the condition |2z+1-I sqrt(3)|=1 , is

The sum of the least and greates in absolute value of z which satisfies the condition |2z+1-I sqrt(3)|=1 , is

If z is a complex number having least absolute value and |z-2+2i|=|, then z=

Find the complex number z with maximum and minimum possible values of |z| satisfying (a) |z + (1)/(z) | =1 .

The complex number z ,which has the least modulus and satisfy the condition |z-2-2i|=1 ,is

Find the non-zero complex number z satisfying z =i z^2dot

Find the non-zero complex number z satisfying z =i z^2dot

Find the complex number z for which |z| = z + 1 + 2i.

Find the non-zero complex numbers z satisfying z =i z^2dot