For a complex numbr Z, if arg `Z=(pi)/(4)` and `|Z+(1)/(Z)|=4`, then the value of `||Z|-(1)/(|Z|)|` is equal to

For a complex number Z, if arg Z=(pi)/(4) and |Z+(1)/(Z)|=4 , then the value of ||Z|-(1)/(|Z|)| is equal to

For a complex number Z, if arg Z=(pi)/(4) and |Z+(1)/(Z)|=4 , then the value of ||Z|-(1)/(|Z|)| is equal to

Z is a complex number. If I Z l = 4 and arg(Z)=(5pi)/6 ,then the value of Z is

Find the complex number z if arg (z+1)=(pi)/(6) and arg(z-1)=(2 pi)/(3)

If z is a complex number such that |z|=4 and arg(z)=(5 pi)/(6) then z is equal to

If z_(1) = 8 + 4i , z_(2) = 6 + 4i and z be a complex number such that Arg ((z - z_(1))/(z - z_(2))) = (pi)/(4) , then the locus of z is

If (pi)/(3) and (pi)/(4) are argument of z_(1) and bar(z)_(2) then the value of arg (z_(1)z_(2)) is