Number of complex numbers satisfying `z^3 = barz` is

Number of imaginergy complex numbers satisfying the equation, z^(2)=barz*2^(1-|z|) is s. 0 b. 1 c. 2 d. 3

If z_1, z_2 are two complex numbers satisfying the equation |(z_1 +z_2)/(z_1 -z_2)|=1 , then z_1/z_2 is a number which is :

Numbers of complex numbers z, such that abs(z)=1 and abs((z)/bar(z)+bar(z)/(z))=1 is

If z is any complex number satisfying abs(z-3-2i) le 2 , where i=sqrt(-1) , then the maximum value of abs(2z-6+5i) , is

Modulus of complex number 3i-4 is :

The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

Find the all complex numbers satisying the equation 2|z|^(2)+z^(2)-5+isqrt(3)=0, wherei=sqrt(-1).

Among the complex numbers z which satisfies |z-25i|<=15 , find the complex numbers z having least modulas ?

If z and w are two non-zero complex numbers such that |zw|=1 and Arg (z) -Arg (w) =pi/2 , then bar z w is equal to :

The complex numbers z_1, z_2 and z_3 satisfying (z_1-z_3)/(z_2- z_3)= (1-i sqrt3)/2 are the vertices of triangle, which is :