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MHT CET 2024 Mathematics question

MathematicsFunctionMHT CET 2024

For a suitable chosen real constant , let a function be defined by . Further suppose that for any real number and , . Then is equal to

Answer: (A)

Solution

. Setting this equal to : a^2+ax-a+x=x\left(a^2+ax+a-x\right)=a^2x+ax^2+ax-x^2, so , i.e. , i.e.

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Question ID VK-092832