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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 $a + bi$?
 $a+bi$ $a-bi$ $(a+bi)^2$
•  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