Question

If z₁ = 3 – 2i and z₂ = –1 + 3i, then Im(z₁z₂) = ______.

Options

• –3

• –11

• 3

• 11

Answer 1

If z₁ = 3 – 2i and z₂ = –1 + 3i, then Im(z₁z₂) = 11.

Explanation:

z₁z₂ = (3 – 2i)(–1 + 3i) = 3 + 11i

⇒ Im(z₁z₂) = 11