JEE Main 202622 Jan, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002Let α,β\alpha, \betaα,β be the roots of the quadratic equation 12x2−20x+3λ=012x^2-20x+3\lambda=012x2−20x+3λ=0, λ∈Z\lambda\in\mathbb{Z}λ∈Z. If 12≤∣β−α∣≤32\frac{1}{2}\le|\beta-\alpha|\le\frac{3}{2}21≤∣β−α∣≤23, then the sum of all possible values of λ\lambdaλ is :AOption A. 1BOption B. 3COption C. 6DOption D. 4CheckSkip · show solution
