JEE Main & Advanced Sample Paper JEE Main Sample Paper-23

  • question_answer
    Let \[y=y(x)\] satisfy the differential equation, \[x\frac{dy}{dx}=y-{{x}^{2}}\]. If \[y(1)=0\]then the area bounded by the curve and the x-axis is

    A)  \[\frac{1}{2}\]                                     

    B)  \[\frac{1}{3}\]

    C)  \[\frac{1}{4}\]                                     

    D)  \[\frac{1}{6}\]

    Correct Answer: D

    Solution :

    \[y(x)=x-{{x}^{2}}\] and area \[=\int\limits_{0}^{1}{(x-{{x}^{2}})dx=\frac{1}{6}}\]


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