[" 17.Let "z in C" be such that "|z|<1." If "omega=(5+3z)/(5(1-z))" ,then "],[[" (A) "5ln(omega)<1," (B) "4lm(omega)>5," (1- "z)]]

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

Let S={ Z in C : | z - 1|=1 and (sqrt 2 - 1) (z overline z) - i(z - overline z) = 2 sqrt 2} . Let z_1, z_2 be such that |z_1| = max_(z in S) |z| and |z_2| = min_(z in S) |z| . Then |sqrt2 z_1 - z_2|^2 equals:

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

Let four points z_(1),z_(2),z_(3),z_(4) be in complex plane such that |z_(2)|= 1, |z_(1)|leq 1 and |z_(3)| le 1 . If z_(3) = (z_(2)(z_(1)-z_(4)))/(barz_(1)z_(4)-1) , then |z_(4)| can be (a) 2 (b) 2/5 (c) 1/3 (d) 5/2

Let z_(1) and z_(2) be two complex numbers such that |(z_(1)-2z_(2))/(2-z_(1)bar(z)_(2))|=1 and |z_(2)|!=1, find |z_(1)|

Let four points z_(1),z_(2),z_(3),z_(4) be in complex plane such that |z_(2)|= 1, |z_(1)|leq 1 and |z_(3)| le 1 . If z_(3) = (z_(2)(z_(1)-z_(4)))/(barz_(1)z_(4)-1) , then |z_(4)| can be

Let z_1, z_2 , z_3 in C such that |z_1 | = |z_2| = |z_3| = |z_1+ z_2+ z _3| = 4 . If |z_1 - z _2 | = | z _1 + z _ 3 | and z_2 ne z_3 , then values of |z_1 + z_2 |* |z_1 + z _ 3| is _____.