Question

if z is a complex number and Mod of z = 1 then proove that z-1/z+1 is pure imaginary number​

Answer 1

Answer:

If (z-1z+1) is purely an imaginary number and z≠-1 then find the value of |z|. Now, z-1z+1 is purely imaginary ⇔x2+y2-1=0⇔x2+y2=1⇔|z|=1.

Explanation:

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