[" Q."11-" if "z" is a complex number and "|z|=1," prove that "z-1/z+1" is a pure imaginary "],[" number."]

If z is a normal complex for which |z| = 1 , prove that frac (z-1)(z+1) is a purely imaginary number.

If z is a complex number such that |z|=1, prove that (z-1)/(z+1) is purely imaginary, what will be your conclusion if z=1?

If z is a complex number such that |z|=1, prove that (z-1)/(z+1) is purely imaginary, what will by your conclusion if z=1?

If z is a complex number such that |z|=1, prove that (z-1)/(z+1) is purely imaginary, what will by your conclusion if z=1?

If (z-1)/(z+1) is purely imaginary then

If z is a complex number such that |z|=1 prove that (z-1)/(z+1) is purely imaginary,what will by your conclusion if z=1?

If |z/| barz |- barz |=1+|z|, then prove that z is a purely imaginary number.

If |z/| barz |- barz |=1+|z|, then prove that z is a purely imaginary number.

If |z/| barz |- barz |=1+|z|, then prove that z is a purely imaginary number.