2. Questions Bank
  3. 12th Class
  4. Mathematics
  5. Applications of Derivatives

12th Class Mathematics Applications of Derivatives Question Bank Case Based (MCQs) - Applications of Derivatives

  • question_answer
    What will be the equation of the tangent at the critical point if it passes through (2, 3)?

    A) \[x+360y=1082\]

    B) \[y=360x-717\]

    C) \[x=717y+360\]

    D) none of these

    Correct Answer: B

    Solution :

    Slope of tangent \[=\frac{1}{\left( -\frac{1}{360} \right)}=360\] Equation of tangent passing through \[\left( 2,\text{ }3 \right)\] is \[y\text{ }-\text{ }3\text{ }=\text{ }360\text{ }\left( x\text{ }\text{ }2 \right)\] \[\Rightarrow y=360x-720+3=360x-717\] \[\Rightarrow y=360x-720+3=360x-717.~\]


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