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Class 11

Complex Numbers: Mixed Practice, Quiz

Five mixed questions on complex numbers. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. Evaluate i13+i14+i15+i16i^{13} + i^{14} + i^{15} + i^{16}.
  2. Find the multiplicative inverse of 3−4i3 - 4i.
  3. Find ∣(1+i)(3−4i)∣\lvert (1 + i)(3 - 4i) \rvert.
  4. Solve 2x2−2x+1=02x^2 - 2x + 1 = 0.
  5. For which real kk does x2+kx+16=0x^2 + kx + 16 = 0 have non-real roots?
Unanswered questions are marked wrong.

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