[" 12.Let "z in C" be such that "|z|<1." If "omega=(5+3z)/(5(1-z))," then :- "quad " [JEE(Main)-2019"],[[(1)5Im(omega)<1,(2)4Im(omega)>5,(3)5Re(omega)>1,(4)5Re(omega)>4]]

Let z in C be such that Re(z^(2)) = 0 , then

Let z in C be such that |z| lt 1 .If omega =(5+3z)/(5(1-z) then

Let z in C be such that |z| lt 1 .If omega =(5+3z)/(5(1-z) then

Let z and omega be two complex numbers such that |z|<=1,| omega|<=1 and |z+omega|=|z-1vec omega|=2 Use the result |z|^(2)=zz and |z+omega|<=|z|+| omega|

Let z and omega be complex numbers.If Re(z)=|z-2|,Re(omega)=| omega-2| and arg(z-omega)=(pi)/(3) ,then the value of Im(z+w), is

Let z and omega be complex numbers. If Re(z) = |z-2|, Re(omega) = |omega - 2| and arg(z - omega) = pi/3 , then the value of Im(z+w) , is

Let z and omega be complex numbers. If Re(z) = |z-2| , Re(omega) = |omega - z| and arg(z - omega) = pi/3 , then the value of Im(z+w) , is

Let z_(1)=a+ib and z_(2)=c+id are two complex number such that |z_(1)|=|z_(2)|=r and Re(z_(1)z_(2))=0 .If w_(1)=a+ic and w_(2)=b+id, then (a) |w_(1)|=r( b) |w_(2)|=r (c) Re(w_(1)w_(2))=0 (d) Im(w_(1)w_(2))=0

If the complex number z and omega satisfies z^(3)+omega^(-7)=0 and z^(5)*omega^(11)=1 then

If |z|=k and omega=(z-k)/(z+k) , then Re (omega) =