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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

The equation in has real roots. Then the set of values of is

Answer: (D)

Solution

If (i.e. ) the equation is linear, , a real root. Otherwise it is a quadratic with discriminant

D=p-4 p( p-1)=p+4 p (1- p).

Since and , whenever , i.e. for every . So on the

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Question ID VK-108499