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JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Numerical Value Type Questions - Monotonicity

  • question_answer
    Let \[\phi \left( x \right)=f\left( x \right)+f\left( 2a-x \right)\] and \[f''\left( x \right)>0\,\,;\,\,\forall \,\,x\in \left[ 0,a \right].\] If \[\phi \left( x \right)\] is decreasing in \[\left[ 0,\lambda a \right]\] then find \[\lambda \].

    Answer:

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