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Algebra Complex Numbers Class 11 Questions for AGNIVEER VAYU

Free, AI-curated practice for the Algebra Complex Numbers Class 11 section of AGNIVEER VAYU. We have 20+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · medium · AI-verified
If z = 3 + 4i, what is the modulus |z|?
  1. 25
  2. 5
  3. √7
  4. 7
Q2 · medium · AI-verified
If (x + iy)(3 − 2i) = (12 + 5i), then x + y equals:
  1. 5
  2. 9
  3. 7
  4. 3
Q3 · medium · AI-verified
The polar form of the complex number √3 + i is:
  1. 2(cos 60° + i sin 60°)
  2. √2(cos 30° + i sin 30°)
  3. 2(cos 30° + i sin 30°)
  4. 2(cos 45° + i sin 45°)
Q4 · medium · AI-verified
If z = x + iy and |z − 1| = |z + 1|, then which condition does x satisfy?
  1. x = −1
  2. x = 0
  3. x = 1
  4. y = 0
Q5 · easy · AI-verified
What is the value of i² (where i is the imaginary unit)?
  1. 1
  2. 0
  3. -1
  4. i
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