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If z = i then (z bar)² = ____?
  1. -1
  2. -i
  3. i
  4. None of these
Explanation

Let's solve the problem step by step.

Given:

  • z=i

  • We need to find (zˉ)2, where zˉ is the complex conjugate of z.

Step 1: Find the conjugate of z.
Since z=i, its conjugate is zˉ=−i.

Step 2: Square the conjugate.
So, (zˉ)2=(−i)2=(−i)×(−i)=i2.

Recall that i2=−1.

Therefore, (zˉ)2=−1.

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