Complex Numbers — Important Questions
ICSE · Class 11 · Mathematics
100 important questions from Complex Numbers for ICSE Class 11 Mathematics, with answers. Includes multiple choice and true false questions.
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Important Questions from Complex Numbers
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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