2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Applications of Derivatives

JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Mock Test - Application of Derivatives

  • question_answer
    Let f(x) and g(x) be differentiable for \[0\le x\le 1\]such that f(0)=0, g(0)=0, f(1)=6. Let there exists a real number c in (0, 1) such that f?= 2g?. then the value of g(1) must be

    A) 1

    B) 3

    C) \[-\,2\]              

    D) \[-\,1\]

    Correct Answer: B

    Solution :

    [b] Applying Rolle?s theorem to \[F(x)=f(x)-2g(x),\] we get \[F(0)=0\] \[F(1)=f(1)-2g(1)\] Or \[0=6-2g(1)\] Or \[g(1)=3\]


You need to login to perform this action.
You will be redirected in 3 sec spinner