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Class 11

Complex Numbers and Their Algebra, Quiz

Five questions on complex numbers, their arithmetic and modulus. Pick one answer for each.

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

  1. Evaluate i42i^{42}.
  2. Find (2+3i)(1−i)(2 + 3i)(1 - i).
  3. Find ∣6−8i∣\lvert 6 - 8i \rvert.
  4. Express 3+i1+i\displaystyle \dfrac{3 + i}{1 + i} in the form a+iba + ib.
  5. Find real xx and yy if (x+1)+i(2y−3)=4+5i(x + 1) + i(2y - 3) = 4 + 5i.
Unanswered questions are marked wrong.

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