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  • Complex Numbers
  • Tests in Complex Numbers
  • Conjugate and modulus of a complex numbers

Conjugate and modulus of a complex numbers

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  • Question 1:
    1 pts
    		What is the conjugate of a+bia + bi?
    a+bia+bi
    a−bia-bi
    (a+bi)2(a+bi)^2
  • Question 2:
    1 pts
    		What is the modulus of a+bia + bi?
    a+b\sqrt{a+b}
    a−b\sqrt{a-b}
    a2+b2\sqrt{a^2+b^2}
    a2−b2\sqrt{a^2-b^2}
  • Question 3:
    1 pts
    		What is the conjugate of −5−i-5 - i?

    −5+i-5+i

    5+i5+i

    −5−i-5-i

    5−i5-i

  • Question 4:
    1 pts
    		What is the modulus of −3−4i-3 - 4i?

    2525

    −25-25

    55

    −5-5

  • Question 5:
    1 pts
    		Is the following statement true or false? The modulus of complex number -9 is -9.
  • Question 6:
    2 pts
    		Which point represents complex conjugate of zz?
    A
    B
    C
    D
  • Question 7:
    2 pts
    		Is the following statement true or false? The modulus of a complex number is always positive number.
  • Question 8:
    2 pts
    		If you multiply a complex number by its complex conjugate then the result is...
    real number
    complex number
  • Question 9:
    2 pts
    		Compute z⋅zˉz\cdot\bar{z} if z=2+3iz =2+3i.

    −5-5

    55

    1313

    −1-1

  • Question 10:
    3 pts
    		Let zˉ\bar{z} be a complex conjugate of zz. Which of the following formulas is correct.
    zzˉ=∣z∣z\bar{z} = |z|
    zzˉ=∣z∣2z\bar{z} = |z|^2
    zzˉ=z2z\bar{z} = z^2
  • Question 11:
    3 pts
    		Let zˉ\bar{z} be a complex conjugate of zz, than z−zˉ2i\frac{z - \bar{z}}{2i} is
    real part of zz
    imaginary part of zz
    none of these

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