Complex Numbers and Quadratic Equations Key Points

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Questions and Answers

What is the conjugate of a complex number $z = a + ib$?

  • $-a + ib$
  • $a + ib$
  • $-a - ib$
  • $a - ib$ (correct)

What is the multiplicative identity of a complex number?

  • 0 + i1
  • 1 + i1
  • 1 + i0 (correct)
  • 0 + i0

What is the polar form of a complex number $z = a + ib$?

  • $z = r (cos\theta - i sin\theta)$
  • $z = r (cos\theta + i sin\theta)$ (correct)
  • $z = r (sin\theta + i cos\theta)$
  • $z = r (sin\theta - i cos\theta)$

When can two complex numbers be compared in general?

<p>When their real parts are equal (B)</p>
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What is the additive inverse or negative of a complex number $z = a + ib$?

<p>$-a - ib$ (D)</p>
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