If `Re(z)<0` then the value of `(1+z+z^2+.....+z^n)` cannot exceed

If |z-3|=min{|z-1|,|z-5|}, then the values of Re(z) will be

|z-4| (a) Re(z) > 0 (b) Re(z) (c) Re(z) > 3 (d) None of these

If z!=0 be a complex number and arg(z)=(pi)/(4), then Re(z)=Im(z) only Re(z)=Im(z)>0Re(z^(2))=Im(z^(2))(d) None of these

For any two complex numbers z_(1)" and "z_(2) prove that (i) Re(z_(1)z_(2))=Re(z_1) Re(z_2)-Im(z_1)Im(z_2) .

For all two complex numbers z1 and z2,prove that Re(z1z2)=Re z1 Re z2-Im z1 Im z2

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

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

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