Let `A(z_(1))` and `B(z_(2))` are two distinct non-real complex numbers in the argand plane such that `(z_(1))/(z_(2))+(barz_(1))/(z_(2))=2`. The value of `|/_ABO|` is

Let A(z_(1)),B(z_(2)) are two points in the argand plane such that (z_(1))/(z_(2))+(bar(z)_(1))/(bar(z)_(2))=2. Find the value of

For two complex numbers z_(1) and z_(2) , we have |(z_(1)-z_(2))/(1-barz_(1)z_(2))|=1 , then

For two complex numbers z_(1) and z_(2) , we have |(z_(1)-z_(2))/(1-barz_(1)z_(2))|=1 , then

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)

Let z_(1) and z_(2) be two non-zero complex number such that |z_(1)|=|z_(2)|=|(1)/(z_(1)+(1)/(z_(2)))|=2 What is the value of |z_(1)+z_(2)| ?

If z_1 and z_2 are two distinct non-zero complex number such that |z_1|= |z_2| , then (z_1+ z_2)/(z_1 - z_2) is always

Let z_(1) and z_(2) be two non-zero complex numbers such that (z_(1))/(z_(2)) + (z_(2))/(z_(1)) = 1 , then the origin and points represented by z_(1) and z_(2)

Let z_(1),z_(2) be two fixed complex numbers in the Argand plane and z be an arbitrary point satisfying |z-z_(1)|+|z-z_(2)|=2|z_(1)-z_(2)| . Then the locus of z will be

If z_(1) and z_(2) are two complex numbers such that |z_(1)| lt 1 lt |z_(2)| , then prove that |(1- z_(1)barz_(2))//(z_(1)-z_(2))| lt 1

If z_(1) and z_(2) are two complex numbers such that |z_(1)| lt 1 lt |z_(2)| , then prove that |(1- z_(1)barz_(2))//(z_(1)-z_(2))| lt 1