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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

If for all then can have the value

Answer: (B),(C)

Solution

We need for all . The leading coefficient is , so we need :

16 - 16(12λ^2 - 47) 0 ⇒ 12λ^2 48 ⇒ λ^2 4

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Question ID VK-110125