JEE Main 2015 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main 2015

If the two roots of the equation, are real and distinct, then the set of all values of is equal to

Answer: (2)

Solution

The key is the factorisation , obtained by writing . Substituting and taking out the common factor,

+x+1)[(a--x+1) + (a++x+1)] = 0.

Since has discriminant $-3

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Question ID VK-115375