Complex Numbers — Practice Quiz
ICSE · Class 11 · Mathematics
Try a 4-question quiz on Complex Numbers for ICSE Class 11 Mathematics: tap an answer to check it and see why. 100 questions in the full chapter test.
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Quick Quiz: Complex Numbers
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
What is the value of i²?
What is the value of i³?
What is the value of i⁴?
What is the period of the cycle of powers of i?
Sample Questions
For z = 5 + 3i, what is Re(z)?
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5
In z = a+ib, Re(z) = a = 5. The real part is the coefficient without i.
For z = 5 + 3i, what is Im(z)?
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3
In z = a+ib, Im(z) = b = 3 (not 3i). The imaginary part is the coefficient of i, not b times i.
What is the conjugate of z = 4 + 7i?
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4 − 7i
The conjugate z̄ = a − ib changes only the sign of the imaginary part. So z̄ = 4 − 7i.
What is |3 + 4i|?
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5
|z| = √(a²+b²) = √(9+16) = √25 = 5.
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