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</p> Signup and view all the answers

    What is the additive inverse or negative of a complex number $z = a + ib$?

    <p>$-a - ib$</p> Signup and view all the answers

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