If Im `((a z+z_1)/(b z+z_2))=1` (wher `z,z_1 and z_2` are complex number abd `a,b` are real number). Then `z` lies on

If |(z-z_1)/(z-z_2)|=1 , where z_1 and z_2 are fixed complex numbers and z is a variable complex number, then z lies on a

If |(z-z_(1))//(z-z_(2))| = 3 , where z_(1) and z_(2) are fixed complex numbers and z is a variable complex complex number, then z lies on a

If |(z-z_(1))//(z-z_(2))| = 3 , where z_(1) and z_(2) are fixed complex numbers and z is a variable complex complex number, then z lies on a

If the complex number z lies on |z| = 1 then (2)/(z) lies on

Let z_1 and z_2 be two complex numbers such that z_1+z_2 and z_1z_2 both are real, theb

Fill in the blanks. If z_(1) " and " z_(2) are complex numbers such that z_(1) +z_(2) is a real number, then z_(1) = ….

If z_(1) and z_(2) are complex number and (z_(1))/(z_(2)) is purely imaginary then |((z1+z2)/(z1-z2))|=

If az_(1)+bz_(2)+cz_(3)=0 for complex numbers z_(1),z_(2),z_(3) and real numbers a,b,c then z_(1),z_(2),z_(3) lie on a

If az_(1)+bz_(2)+cz_(3)=0 for complex numbers z_(1),z_(2),z_(3) and real numbers a,b,c then z_(1),z_(2),z_(3) lie on a