If y=a x+bx^ 2 +x has its extreme values at x=-1 and x=2, then the value of ( b + b ) is

MHT CET 2024 Mathematics question

If has its extreme values at and , then the value of is

Answer: (C)

Extreme values occur where . At : . At : . From the first, . Substitute: , so . Then

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Question ID VK-096716