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Question 220025
JEE Mathematics · Medium

Quadratic Equations and Inequalities: Roots reciprocal MCQ

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Roots reciprocalMediumQuestion 220025

Question

If α, β are roots of 2x² − 3x + 1 = 0, the equation with roots 1/α, 1/β is:
  1. A
    x² − 3x + 2 = 0
    Correct
  2. B
    2x² + 3x − 1 = 0
  3. C
    x² + 3x − 2 = 0
  4. D
    x² − 3x − 2 = 0

Correct answer

x² − 3x + 2 = 0

Explanation

For roots 1/α and 1/β: sum = (α+β)/(αβ) = (3/2)/(1/2) = 3; product = 1/(αβ) = 2. Equation: x²−3x+2=0.

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