State True of False:If z is a complex number such that z ≠ 0 and Re

1.	State True of False:If z is a complex number such that z ≠ 0 and Re (z) = 0, then Im (z2) = 0.
Answer» False Explanation: Given z ≠ 0 and Re (z) = 0 Let z = x + iy Then x = 0 ∴ z = iy ⇒ Im (z²) = i²y² = -y² ≠ 0

State True of False:If z is a complex number such that z ≠ 0 and Re (z) = 0, then Im (z2) = 0.

Answer»

False

Explanation:

Given z ≠ 0 and Re (z) = 0

Let z = x + iy

Then x = 0

∴ z = iy

⇒ Im (z²) = i²y² = -y² ≠ 0