1.12 Complex numbers: Cartesian form

1.12 Complex numbers: Cartesian form Quiz

IB Maths: Applications and Interpretation HL: Quiz

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5 questions, one answer each

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  1. 1. Find (3+4i)(1−2i)(3+4i)(1-2i).

    • A. −5−2i-5-2i
    • B. 3−8i3-8i
    • C. 11+2i11+2i
    • D. 11−2i11-2i
  2. 2. Find the modulus of 5−12i5-12i.

    • A. 77
    • B. 169169
    • C. 1313
    • D. 119\sqrt{119}
  3. 3. Find the conjugate of −3+2i-3+2i.

    • A. 3−2i3-2i
    • B. −3−2i-3-2i
    • C. 3+2i3+2i
    • D. −2+3i-2+3i
  4. 4. Solve x2+4=0x^{2}+4=0.

    • A. ±2i\pm2i
    • B. ±4i\pm4i
    • C. ±2\pm2
    • D. No solutions at all
  5. 5. Solve x2+2x+5=0x^{2}+2x+5=0.

    • A. 1±2i1\pm2i
    • B. −1±4i-1\pm4i
    • C. −1±2i-1\pm2i
    • D. −2±4i-2\pm4i

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