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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

If does not have two distinct real roots, where , , then the least value of is

Answer: (D)

Solution

Treating the equation as a genuine quadratic (), "not two distinct real roots" means

D=-24a 0 a \ (so a>0).

Hence

3a+b\ \ +b=+8b)=(b+-2\ \ -2 .

Equali

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Question ID VK-107988