The circle `|z+3|=1` touches `|z-sqrt(7)i|=r`. Then sum of possible values of r is

If z = (-2)/(1 + sqrt(3i)) , then the value of age z is

Let a = 3 + 4i, z_(1) and z_(2) be two complex numbers such that |z_(1)| = 3 and |z_(2) - a| = 2 , then maximum possible value of |z_(1) - z_(2)| is ___________.

If z = sqrt(20i - 21) + sqrt(20i + 21) , than one of the possible value of |arg(z)| equals

If z a complex number satisfying |z^(3)+z^(-3)|le2 , then the maximum possible value of |z+z^(-1)| is -

If z ,lies on the circle |z-2i|=2sqrt(2), then the value of arg((z-2)/(z+2)) is the equal to

If z_(1) = 3+4i and z_(2) = 2+i , and z satisfy the equation 2(z+bar(z)) + 3(z-bar(z))i = 0 , Then for Minimum value of |z-z_(1)| + |z-z_(2)| , possible value of z can be

If |z|=r. Area of the triangle whose vertices are z,wz and z+wz is 4sqrt(3) sq.units then the value of r is