Complex numbers and the Argand diagram

Complex numbers and the Argand diagram Quiz

Spec 1.1–3 · Edexcel International A Level Further Maths: 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. Find ∣−5+12i∣|{-5}+12\mathrm{i}|.

    • A. 77
    • B. 1313
    • C. 169169
    • D. 1717

  2. 2. Find Im(4−7i)\text{Im}(4-7\mathrm{i}).

    • A. 7i7\mathrm{i}
    • B. −7i-7\mathrm{i}
    • C. 44
    • D. −7-7

  3. 3. What is the principal argument of −1−i-1-\mathrm{i}?

    • A. 3π4\frac{3\pi}{4}
    • B. −3π4-\frac{3\pi}{4}
    • C. π4\frac{\pi}{4}
    • D. −π4-\frac{\pi}{4}

  4. 4. ∣z1∣=3|z_1|=3 and ∣z2∣=7|z_2|=7. Find ∣z1z2∣|z_1z_2|.

    • A. 1010
    • B. 44
    • C. 2121
    • D. 37\frac37

  5. 5. If (a+2b)+(a−b)i=5+2i(a+2b)+(a-b)\mathrm{i}=5+2\mathrm{i} with a,ba,b real, find aa and bb.

    • A. a=3, b=1a=3,\ b=1
    • B. a=1, b=2a=1,\ b=2
    • C. a=4, b=12a=4,\ b=\frac12
    • D. a=3, b=−1a=3,\ b=-1

Quiz