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[" The number of all possible positive integral values of a for which the roots of the quadratic equation,"6x^(2)],[11x+alpha=0" are rational numbers is "]

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The number of all possible positive integral values of alpha for which the roots of the quadratic equation 6x^(2)-11x+alpha=0 are rational numbers is : (a) 3 (b) 2 (c) 4 (d) 5

The number of all possible positive integral values of alpha for which the roots of the quadratic equation 6x^2-11x+alpha=0 are rational numbers is : (a) 3 (b) 2 (c) 4 (d) 5

The number of all possible positive integral values of alpha for which the roots of the quadratic equation 6x^2-11x+alpha=0 are rational numbers is : (a) 3 (b) 2 (c) 4 (d) 5

The number of all possible positive integral values of alpha for which the roots of the quadratic equation 6x^2-11x+alpha=0 are rational numbers is : (a) 3 (b) 2 (c) 4 (d) 5

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Number of non-negative integral values of 'k' for which roots of the equation x^(2)+6x+k=0 are rational is-

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Number of possible integral values of sqrt(x-2)+sqrt(6-x) is