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Tests in Complex Numbers

There are 6 tests inside this topic. Click the button below to change currently active quiz.

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Current: Test in Conjugate and Modulus of a Complex Numbers
  • Q1:
    1 pts
    What is the conjugate of $a + bi$?
    $a+bi$
    $a-bi$
    $(a+bi)^2$
  • Q2:
    1 pts
    What is the modulus of $a + bi$?
    $\sqrt{a+b}$
    $\sqrt{a-b}$
    $\sqrt{a^2+b^2}$
    $\sqrt{a^2-b^2}$
  • Q3:
    1 pts
    What is the conjugate of $-5 - i$?

    -5+i

    5+i

    -5-i

    5-i

  • Q4:
    1 pts
    What is the modulus of $-3 - 4i$?

    25

    -25

    5

    -5

  • Q5:
    1 pts
    Is the following statement true or false? The modulus of complex number -9 is -9.
  • Q6:
    2 pts
    Which point represents complex conjugate of $z$?

    A

    B

    C

    D

  • Q7:
    2 pts
    Is the following statement true or false? The modulus of a complex number is always positive number.
  • Q8:
    2 pts
    If you multiply a complex number by its complex conjugate then the result is...
    real number
    complex number
  • Q9:
    2 pts
    Compute $z\cdot\bar{z}$ if $z =2+3i$.

    -5

    5

    13

    -1

  • Q10:
    3 pts
    Let $\bar{z}$ be a complex conjugate of $z$. Which of the following formulas is correct.
    $z\bar{z} = |z|$
    $z\bar{z} = |z|^2$
    $z\bar{z} = z^2$
  • Q11:
    3 pts
    Let $\bar{z}$ be a complex conjugate of $z$, than $\frac{z - \bar{z}}{2i}$ is
    real part of $z$
    imaginary part of $z$
    none of these