1.12 Complex numbers in Cartesian form

1.12 Complex numbers in Cartesian form Quiz

IB Maths: Analysis and Approaches HL: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

  1. 1. Simplify (2+i)(3−i)(2 + \mathrm{i})(3 - \mathrm{i}).

    • A. 6−i6 - \mathrm{i}
    • B. 5+i5 + \mathrm{i}
    • C. 7+i7 + \mathrm{i}
    • D. 7−i7 - \mathrm{i}

  2. 2. Find 101−3i\frac{10}{1 - 3\mathrm{i}}.

    • A. 1+3i1 + 3\mathrm{i}
    • B. 1−3i1 - 3\mathrm{i}
    • C. 10+30i10 + 30\mathrm{i}
    • D. −1+3i-1 + 3\mathrm{i}

  3. 3. What is Im(4−5i)\mathrm{Im}(4 - 5\mathrm{i})?

    • A. −5i-5\mathrm{i}
    • B. 55
    • C. −5-5
    • D. 44

  4. 4. Find arg⁡(−3−i)\arg(-\sqrt3 - \mathrm{i}) in the interval −π<θ≤π-\pi < \theta \le \pi.

    • A. π6\frac{\pi}{6}
    • B. −5π6-\frac{5\pi}{6}
    • C. 5π6\frac{5\pi}{6}
    • D. −π6-\frac{\pi}{6}

  5. 5. The points representing 1+2i1 + 2\mathrm{i} and 4−2i4 - 2\mathrm{i} are how far apart?

    • A. 55
    • B. 77
    • C. 7\sqrt{7}
    • D. 2525

Quiz