Q. 26 E5.0( 3 Votes )

# State True of False for the following:

If z is a complex number such that z ≠ 0 and Re (z) = 0, then Im (z^{2}) = 0.

Answer :

False

**Explanation:**

Given z ≠ 0 and Re (z) = 0

Let z = x + iy

Then x = 0

∴ z = iy

⇒ Im (z^{2}) = i^{2}y^{2} = -y^{2} ≠ 0

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