Let `Z_(1),Z_(2)` be two complex numbers which satisfy `|z-i| = 2` and `|(z-lambda i)/(z+lambda i)|=1` where `lambda in R,` then `|z_(1)-z_(2)|` is

The number of complex numbers z satisfying |z-2-i|=|z-8+i| and |z+3|=1 is

Let z_(1), z_(2) be two complex numbers satisfying the equations |(z-4)/(z-8)|= 1 and |(z-8i)/(z-12)|=(3)/(5) , then sqrt(|z_(1)-z_(2)|) is equal to __________

The complex number z satisfying z+|z|=1+7i then |z|^(2)=

Find the complex number z for which |z| = z + 1 + 2i.

Let z_(1),z_(2) be two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| . Then,

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_(1),z_(2) be two complex numbers such that z_(1)+z_(2) and z_(1)z_(2) both are real, then

If z_(1),z_(2),z_(3) are three non-zero complex numbers such that z_(3)=(1-lambda)z_(1)+lambda z_(2) where lambda in R-{0}, then points corresponding to z_(1),z_(2) and z_(3) is