Let z=x+i y be a complex number, where ...

Let `z=x+i y` be a complex number, where `xa n dy` are real numbers. Let `Aa n dB` be the sets defined by `A={z :|z|lt=2}a n dB={z :(1-i)z+(1+i)bar z geq4}` . Find the area of region `AnnB`

Similar Questions

Explore conceptually related problems

Let z be a complex number such that |z|=5 Find the maximum value of |z+3+4i|

Let z=1+ ai be a complex number,a>0, such that z^(3) is a real number.Then the sum 1+z+z^(2)+...+z^(11) is equal to:

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

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number.Then z+(1)/(z) is

Let z be a complex number satisfying 2z+|z|=2+6i .Then the imaginary part of z is

Let A,B,C be three sets of complex numbers as defined below.A={z:|z+1| =1} and C={z:|(z-1)/(z+1)|>=1}

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

Let z be a complex number such that |z| + z = 3 + i (Where i=sqrt(-1)) Then ,|z| is equal to

Let z in C, the set of complex numbers. Thenthe equation,2|z+3i|-|z-i|=0 represents :