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Question 220013
JEE Mathematics · Hard

Quadratic Equations and Inequalities: Sum product MCQ

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Sum productHardQuestion 220013

Question

If one root of x² + px + q = 0 is twice the other, then:
  1. A
    p² = 4q
  2. B
    2p² = 9q
    Correct
  3. C
    p² = 2q
  4. D
    4p² = 9q

Correct answer

2p² = 9q

Explanation

Let roots be α and 2α. Sum: 3α = −p → α = −p/3. Product: 2α² = q → 2p²/9 = q → 2p² = 9q.

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