Complex Numbers and Quadratic Equations

Class 11 · Mathematics

74 questions33 easy31 medium10 hard

Sample Questions

Q1.The maximum value of |z| if |z – 3 – 4i| ≤ 2 is:

  • A5
  • B7
  • C3
  • D9

Q2.The discriminant of ax² + bx + c = 0 for which complex roots occur is:

  • AD > 0
  • BD = 0
  • CD < 0
  • DD ≠ 0

Q3.If z = 2 – i, then z² – 4z + 5 equals:

  • A0
  • B1
  • Ci
  • D4

Q4.The roots of x² – 2x + 5 = 0 are:

  • A1 ± 2i
  • B2 ± i
  • C1 ± i
  • D2 ± 2i

Q5.The imaginary part of z = 3 – 4i is:

  • A–4
  • B3
  • C4i
  • D–4i

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Algebra of complex numbersArgand planeComplex numbersConjugate of a complex numberFundamental theorem of algebraImaginary numbersModulus and argumentPolar formQuadratic equations with complex rootsSquare root of complex numbers

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