If z1 and z2 are two complex number such...

If `z_1 and z_2` are two complex number such that `|(z_1-z_2)/(z_1+z_2)|=1`, Prove that `iz_1/z_2=k` where k is a real number Find the angle between the lines from the origin to the points `z_1 + z_2` and `z_1-z_2` in terms of k

Similar Questions

Explore conceptually related problems

If z_(1), z_(2) are two complex numbers such that Im(z_(1)+z_(2))=0 and Im(z_(1) z_(2))=0 , then

If z_(1),z_(2) are two complex numbers satisfying the equation : |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then (z_(1))/(z_(2)) is a number which is

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

If z_(1) and z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| , then arg. z_(1)- arg. z_(2) equals :

If z=x+i y is a variable complex number such that arg ((z-1)/(z+1))=(pi/4) , then

If z_(1) and z_(2) are complex number and (z_(1))/(z_(2)) is purely imaginary then |((z1+z2)/(z1-z2))|=

The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

Solve that equation z^2+|z|=0 , where z is a complex number.

If z is a complex number such that |z|=1, z ne 1 , then the real part of |(z-1)/(z+1)| is

For any two complex numbers z_(1) and z_(2) , prove that Re ( z_(1)z_(2)) = Re z_(1) Re z_(2)- 1mz_(1) Imz_(2)