Suppose two complex numbers `z=a+ib`, `w=c+id` satisfy the equation `(z+w)/(z)=(w)/(z+w)`. Then

If z and w are two complex numbers simultaneously satisfying the equations, z^3+w^5=0 and z^2 . overlinew^4 = 1, then

If z is a complex number satisfying the equation |z-(1+i)|^(2)=2 and omega=(2)/(z), then the locus traced by omega' in the complex plane is

Find number of values of complex numbers omega satisfying the system of equation z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find number of values of complex numbers omega satisfying the system of equaltion z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find number of values of complex numbers omega satisfying the system of equaltion z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

If z and w are two complex numbers simultaneously satisfying te equations,z^(3)+w^(5)=0 and z^(2)+bar(w)^(4)=1, then

Find the number of values of complex numbers omega satisfying the system of equations z^(3)==(overlineomega)^(7) and z^(5).omega^(11)=1

If z and w are two complex numbers simultaneously satisfying te equations, z^3+w^5=0 and z^2 +overlinew^4 = 1, then

Let w(Im w!=0) be a complex number.Then the set of all complex numbers z satisfying the equal w-bar(w)z=k(1-z), for some real number k,is :

If z is a complex number satisfying the equation |z-(1+i)|^2=2 and omega=2/z , then the locus traced by 'omega' in the complex plane is