Consider a complex number `w=(z-1)/(2z+1)` where `z=x+iy,` where `x,y in R`. If the complex number `w` is purely imaginary then locus of `z` is

The complex number z is purely imaginary,if

If a complex number Z is purely imaginary then conjugate of Z is

If a complex number Z is purely imaginary then conjugate of Z is

Consider the complex number z = (1 - isin theta)//(1+ icos theta) . The value of theta for which z is purely imaginary are

Consider a complex number z=(2w+1)/(iw+1) where w=x+iy if I_(m)(z)=-2 then the locus of omega is a straight line.Find the x- intercept of the line

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number.Then z+(1)/(z) is

If w=|z|^(2)+iz^(2), where z is a nonzero complex number then

If z(!=-1) is a complex number such that (z-1)/(z+1) is purely imaginary,then |z| is equal to