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JEE Main & Advanced Mathematics Differentiation Question Bank Differentiation of implicit function Parametric

  • question_answer
    If \[x=a(t-\sin t)\]and \[y=a(1-\cos t),\]then \[\frac{dy}{dx}=\] [AISSE 1984; Roorkee 1974; SCRA 1996; Karnataka CET 2003]

    A)            \[\tan \left( \frac{t}{2} \right)\]

    B)            \[-\tan \left( \frac{t}{2} \right)\]

    C)            \[\cot \left( \frac{t}{2} \right)\]

    D)            \[-\cot \left( \frac{t}{2} \right)\]

    Correct Answer: C

    Solution :

               \[\frac{dy}{dx}=\frac{dy/dt}{dx/dt}\].


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