Complex Numbers and De Moivre’s Theorem — Practice Quiz
Telangana Open School (TOSS) · Class 12 · Mathematics
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Quick Quiz: Complex Numbers and De Moivre’s Theorem
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
What is the value of \( i^2 \)?
Simplify \( \sqrt{-25} \).
Which of the following is a purely imaginary number?
What is the real part of \( 5 - 7i \)?
Sample Questions
What is the imaginary part of \( -2 + 3i \)?
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3
For a complex number \( a + bi \), the imaginary part is \( b \), not \( bi \). So here, it is 3.
Which of the following is equal to \( i^4 \)?
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1
We know \( i^2 = -1 \), so \( i^4 = (i^2)^2 = (-1)^2 = 1 \).
What is the conjugate of \( 3 + 4i \)?
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3 - 4i
The conjugate of \( a + bi \) is \( a - bi \). So, the conjugate of \( 3 + 4i \) is \( 3 - 4i \).
Is the conjugate of a real number the number itself?
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True
Yes, because a real number is \( a + 0i \), and its conjugate is \( a - 0i = a \), which is the same.
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