Arithmetic of complex numbers

Arithmetic of complex numbers Quiz

Spec 1.2 · Edexcel International A Level Further Maths: Quiz

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  1. 1. Find (2+3i)(4−i)(2+3\mathrm{i})(4-\mathrm{i}).

    • A. 8−3i8-3\mathrm{i}
    • B. 5+10i5+10\mathrm{i}
    • C. 11+10i11+10\mathrm{i}
    • D. 11+14i11+14\mathrm{i}

  2. 2. Write 6+2i1−i\dfrac{6+2\mathrm{i}}{1-\mathrm{i}} in the form a+bia+b\mathrm{i}.

    • A. 2+4i2+4\mathrm{i}
    • B. 4+8i4+8\mathrm{i}
    • C. 3+i3+\mathrm{i}
    • D. 4+2i4+2\mathrm{i}

  3. 3. AA and BB represent 2+3i2+3\mathrm{i} and 4−i4-\mathrm{i} and OACBOACB is a parallelogram. What does CC represent?

    • A. −2+4i-2+4\mathrm{i}
    • B. 2−4i2-4\mathrm{i}
    • C. 8−3i8-3\mathrm{i}
    • D. 6+2i6+2\mathrm{i}

  4. 4. Find i(3−2i)\mathrm{i}(3-2\mathrm{i}).

    • A. −2+3i-2+3\mathrm{i}
    • B. 2+3i2+3\mathrm{i}
    • C. 3−2i3-2\mathrm{i}
    • D. −2−3i-2-3\mathrm{i}

  5. 5. Find 13+4i\dfrac{1}{3+4\mathrm{i}}.

    • A. 3+4i25\dfrac{3+4\mathrm{i}}{25}
    • B. 3−4i5\dfrac{3-4\mathrm{i}}{5}
    • C. 3−4i25\dfrac{3-4\mathrm{i}}{25}
    • D. 4−3i25\dfrac{4-3\mathrm{i}}{25}

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