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Quadratic Equations and Sequence Series Questions for AGNIVEER NAVY

Free, AI-curated practice for the Quadratic Equations and Sequence Series section of AGNIVEER NAVY. 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 · easy · AI-verified
Find the roots of the quadratic equation x² - 5x + 6 = 0.
  1. x = 2 and x = 3
  2. x = -2 and x = -3
  3. x = 1 and x = 6
  4. x = 2 and x = -3
Q2 · medium · AI-verified
The sum of an infinite geometric series is 12 and its first term is 4. Find the common ratio.
  1. 1/2
  2. 2/3
  3. 3/4
  4. 1/3
Q3 · medium · AI-verified
Form a quadratic equation whose roots are 3 and -5.
  1. x² + 2x - 15 = 0
  2. x² - 2x + 15 = 0
  3. x² - 2x - 15 = 0
  4. x² + 2x + 15 = 0
Q4 · hard · AI-verified
The sum of an infinite GP is 4 and the sum of the cubes of its terms is 64/7. Find the first term of the GP.
  1. 2
  2. 1
  3. 4
  4. 3
Q5 · hard · AI-verified
If one root of the equation px² + qx + r = 0 is double the other, which of the following conditions must hold?
  1. 2q² = 9pr
  2. 4q² = 9pr
  3. q² = 4pr
  4. q² = 2pr
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