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MathsJEE Main 28 Jan 2026, Shift 1·Q10·MCQ·Easy–moderate

Quadratic Equations · Roots and coefficients

If α,β\alpha, \beta, where α<β\alpha < \beta, are the roots of the equation λx2−(λ+3)x+3=0\lambda x^2 - (\lambda + 3)x + 3 = 0 such that 1α−1β=13\dfrac{1}{\alpha} - \dfrac{1}{\beta} = \dfrac{1}{3}, then the sum of all possible values of λ\lambda is:
  1. (1)6
  2. (2)2
  3. (3)4
  4. (4)8

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See the full 28 Jan 2026, Shift 1 paper