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MathsJEE Main 22 Jan 2026, Shift 2·Q13·MCQ·Easy–moderate

Quadratic Equations · Difference of roots

Let α,β\alpha, \beta be the roots of the quadratic equation 12x2−20x+3λ=012x^2 - 20x + 3\lambda = 0, λ∈Z\lambda \in \mathbb{Z}. If 12≤∣β−α∣≤32\dfrac12 \le \lvert\beta - \alpha\rvert \le \dfrac32, then the sum of all possible values of λ\lambda is:
  1. (1)6
  2. (2)1
  3. (3)3
  4. (4)4

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