If (a,b) lies on the unit circle |z|=1 and `|z_(1)|^(2)+|z_(2)|^(2)=3` ,then `|az_(1)-bz_(2)|^(2)+|bz_(1)+az_(2)|^(2)` is equal to

If |z_(1)|=1,|z_(2)|=2, then value of |z_(1)+z_(2)|^(2)+|z_(1)-z^(2)|^(2) is equal to

If z lies on the circle |z-1|=1 , then (z-2)/z is

If z lies on the circle I z 1=1, then 2/z lies on

If (3 z_(1))/(5 z_(2)) is purely imaginary, then |(2z_(1)-z_(2))/(2z_(1) + z_(2))| is equal to _________

If z_(1),z_(2),……………,z_(n) lie on the circle |z|=R , then |z_(1)+z_(2)+…………….+z_(n)|-R^(2)|1/z_(1)+1/z_(2)+…….+1/z-(n)| is equal to

If |z_(1)|=1,|z_(2)|=2,|z_(3)|=3 ,then |z_(1)+z_(2)+z_(3)|^(2)+|-z_(1)+z_(2)+z_(3)|^(2)+|z_(1)-z_(2)+z_(3)|^(2)+|z_(1)+z_(2)-z_(3)|^(2) is equal to

If z_(1),z_(2),z_(3) are three complex numbers, such that |z_(1)|=|z_(2)|=|z_(3)|=1 & z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=0 then |z_(1)^(3)+z_(2)^(3)+z_(3)^(3)| is equal to _______. (not equal to 1)

If amp (z_(1)z_(2))=0 and |z_(1)|=|z_(2)|=1, then z_(1)+z_(2)=0 b.z_(1)z_(2)=1 c.z_(1)=z_(2)^(*) d.none of these

Let z_(1) and z_(2) be two given complex numbers such that z_(1)/z_(2) + z_(2)/z_(1)=1 and |z_(1)| =3 , " then " |z_(1)-z_(2)|^(2) is equal to