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The value of 'a' for which the quadratic...

The value of 'a' for which the quadratic expression `ax^(2)+|2a-3|x-6` is positive for exactly two integral values of x is

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The number of integral values of alpha for which the quadratic expression alpha x^(2)+|2 alpha-3|x-6 is positive for exactly two integral values of x is equal to

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The values of 'a' for which the quadraic expression ax^(2)+(a-2)x-2 is negative for exactly two integral values of x , belongs to

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All the values of ' a ' for which the quadratic expression a x^2+(a-2)x-2 is negative for exactly two integral values of x may lie in (a) [1,3/2] (b) [3/2,2) (c) [1,2) (d) [-1,2)

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The expression (a-2)x^(2)+2(2a-3)x+(5a-6) is positive for all real value of x, then