Expresswala Academy Mathematics Tuition

Class 11

Complex Numbers and Quadratic Equations, Course Quiz

Ten questions across the whole Complex Numbers and Quadratic Equations course. Pick one answer for each.

10 questions, one mark each. 6 to pass. Suggested time: 20 minutes. Your answers are not recorded.

  1. Find i−1i^{-1}.
  2. Find (1+i)2(1 + i)^2.
  3. Find ∣5+12i∣\lvert 5 + 12i \rvert.
  4. Find the conjugate of (2−i)2(2 - i)^2.
  5. Express 11−i\displaystyle \dfrac{1}{1 - i} in the form a+iba + ib.
  6. What is the principal argument of 3i3i?
  7. Which is the polar form of −1+i-1 + i?
  8. Solve x2+9=0x^2 + 9 = 0.
  9. Solve x2−4x+13=0x^2 - 4x + 13 = 0.
  10. Evaluate −9×−16\sqrt{-9} \times \sqrt{-16}.
Unanswered questions are marked wrong.

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