Let `z` be a complex number satisfying `|z+16|=4|z+1|`. Then

The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i|=3 are a. one b. two c. four d. none of these

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|dot

Suppose that z is a complex number that satisfies |z-2-2i|lt=1. The maximum value of |2i z+4| is equal to _______.

If z is any complex number satisfying |z-3-2i|lt=2 then the maximum value of |2z-6+5i| is

Let Z_(1) and Z_(2) be two complex numbers satisfying |Z_(1)|=9 and |Z_(2)-3-4i|=4 . Then the minimum value of |Z_(1)-Z_(2)| is

For all complex numbers z_1,z_2 satisfying |z_1|=12 and |z_2-3-4i|=5 , find the minimum value of |z_1-z_2|

If z_1, z_2 are two complex numbers (z_1!=z_2) satisfying |z1^2-z2^2|=| z 1^2+ z 2 ^2-2( z )_1( z )_2| , then a. (z_1)/(z_2) is purely imaginary b. (z_1)/(z_2) is purely real c. |a r g z_1-a rgz_2|=pi d. |a r g z_1-a rgz_2|=pi/2

The point z in the complex plane satisfying |z+2|-|z-2|= ±3 lies on

Modulus of nonzero complex number z satisfying barz +z=0 and |z|^2-4z i=z^2 is _________.

Let z be a complex number such that the imaginary part of z is nonzero and a = z^2 + z + 1 is real. Then a cannot take the value