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Complex Numbers and Quadratic Equations Questions for NDA

Free, AI-curated practice for the Complex Numbers and Quadratic Equations section of NDA. We have 15+ 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 · easy · AI-verified
If z = 3 + 4i, what is the modulus |z| of the complex number?
  1. 5
  2. 7
  3. √7
  4. 25
Q2 · easy · AI-verified
What is the value of i + i² + i³ + i⁴?
  1. 0
  2. i
  3. 1
  4. 2i
Q3 · easy · AI-verified
If α and β are roots of x² − 3x + 2 = 0, then α² + β² equals:
  1. 4
  2. 5
  3. 9
  4. 13
Q4 · easy · AI-verified
If ω is a cube root of unity (ω ≠ 1), then 1 + ω + ω² equals:
  1. −1
  2. 0
  3. 3
  4. 1
Q5 · easy · AI-verified
The argument (amplitude) of the complex number z = −1 + i is:
  1. −π/4
  2. π/4
  3. π/2
  4. 3π/4
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