JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

If has no real roots for real values of and then

Answer: (A),(B),(D)

Solution

Let . It has no real zero, and it is continuous, so it has the same sign for every real . (If this is . If , "no real roots" forces , so .)

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Question ID VK-110134