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

    $-5+i$

    $5+i$

    $-5-i$

    $5-i$

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

    $25$

    $-25$

    $5$

    $-5$

  • 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 $z$?
    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 $z\cdot\bar{z}$ if $z =2+3i$.

    $-5$

    $5$

    $13$

    $-1$

  • Question 10:
    3 pts
    		Let $\bar{z}$ be a complex conjugate of $z$. Which of the following formulas is correct.
    $z\bar{z} = |z|$
    $z\bar{z} = |z|^2$
    $z\bar{z} = z^2$
  • Question 11:
    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

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