Let `z` be a complex number such that `|5z+(1)/(z)|=3` and `arg(z)=theta` ,then maximum value of `cos(2 theta)` is -

Let Z be a complex number such that |2Z+(1)/(Z)|=1 and arg Z=theta then minimum value of 8sin^(2)theta is

Let Z and w be two complex number such that |zw|=1 and arg(z)-arg(w)=pi/2 then

Let z be complex number such that |(z-9)/(z+3)|=2 hen the maximum value of |z+15i| is

Let a = 3 + 4i, z_(1) and z_(2) be two complex numbers such that |z_(1)| = 3 and |z_(2) - a| = 2 , then maximum possible value of |z_(1) - z_(2)| is ___________.

Let z be a complex number such that |z|=2 . Then the maximum value of |z+(1)/(z)| is

Let z be a complex number such that |z| = 2, then maximum possible value of |z + (2)/(z)| is

Let z be a complex number such that |z|=5 Find the maximum value of |z+3+4i|

Let z_(1) and Z_(2) be two complex numbers such that |z_(1)|=1 and |z_(2)|=10. If theta=arg((z_(1)-z_(2))/(z_(2))) then maximum value of tan^(2)theta can be expressed as (m)/(n) (where m and n are coprime ) .Find the value of (100m-n)

If z_(1) and z_(2) are two non-zero complex number such that |z_(1)z_(2)|=2 and arg(z_(1))-arg(z_(2))=(pi)/(2) ,then the value of 3iz_(1)z_(2)