If z is a complex number such that Re (z) = Im(z), then

If z is a complex number such that Re(z)=Im(2), then

z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't be

z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't be

z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't be

If z is a complex number such that |z+(1)/(z)|=1 show that Re(z)=0 when |z| is the maximum.

State true or false for the following. If z is a complex number such that z ne 0 " and Re " (z)= 0 " then Im" (z^(2)) = 0 .

State true or false for the following. If z is a complex number such that z ne 0 " and Re " (z)= 0 " then Im" (z^(2)) = 0 .

If z is a complex numbers such that z ne 0 and "Re"(z)=0 , then

Let z be a complex number such that Re (z)=sqrt(x^(2)+4), and Im(z)=sqrt(y-4) satisfying |z|=sqrt(10) .Area enclosed by the set of points (x,y) on the complex plane,is-

If z_(1),z_(2) are complex number such that Re(z_(1) ) = |z_(1) - 1| , Re(z_(2)) = |z_(2) -1| and arg(z_(1) - z_(2)) = (pi)/(3) , then Im (z_(1) + z_(2)) is equal to