Let f(x) = _e( x), (0 < x < ) and g(x) = ^ -1 (e^ -x ), (x 0). If α is a positive real number such that a = (f g)'( ) and b = (f g)( ), then:

JEE Main 2019 Mathematics question

Let , and , . If α is a positive real number such that and , then:

Answer: (D)

, so a = −1, b = −α; $aα^2 - bα - a =

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Question ID VK-009544