If complex number
`omega=(5+3z)/(5(1-z))`
`|z|lt1` then

If complex number omega=(5+3z)/(5(1-z))|z|<1 then

If z_(1) and z_(2) are two complex numbers such that |z_(1)| lt 1 lt |z_(2)| , then prove that |(1- z_(1)barz_(2))//(z_(1)-z_(2))| lt 1

If z_(1) and z_(2) are two complex numbers such that |z_(1)| lt 1 lt |z_(2)| , then prove that |(1- z_(1)barz_(2))//(z_(1)-z_(2))| lt 1

Let z be a complex number such that |(z-5i)/(z+5i)|=1 , then show that z is purely real

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

If z_(1),z_(2),z_(3) are three complex numbers such that 5z_(1)-13z_(2)+8z_(3)=0, then prove that [[z_(1),(bar(z))_(1),1z_(2),(bar(z))_(2),1z_(3),(bar(z))_(3),1]]=0

If z is any complex number such that |z+4|lt=3, then find the greatest value of |z+1|dot

If z is any complex number such that |z+4|lt=3, then find the greatest value of |z+1|dot