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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

  • question_answer
    If\[x=a{{t}^{2}},\text{ }y=2at,\]then the value of\[\frac{dy}{dx}\]at\[t=2\] is

    A)  2               

    B)  \[\frac{1}{2}\]

    C)  0               

    D)  None of these

    Correct Answer: B

    Solution :

     \[x=a{{t}^{2}},y=2at\] \[\frac{dx}{dt}=2at,\frac{dy}{dt}=2a\] \[\therefore \] \[\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{2a}{2at}=\frac{1}{t}\] At \[t=2,\frac{dy}{dx}=\frac{1}{2}\]


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