JEE Main & Advanced AIEEE Solved Paper-2004

  • question_answer
    A point on the parabola\[{{y}^{2}}=18x\]at which the ordinate increases at twice the rate of the abscissa, is

    A) (2, 4)                     

    B) (2, -4)   

    C)        \[\left( -\frac{9}{8},\frac{9}{2} \right)\]        

    D)        \[\left( \frac{9}{8},\frac{9}{2} \right)\]

    Correct Answer: D

    Solution :

    Equation of parabola is. On differentiating w.r.t. t, we get                         From equation of parabola,                               Hence, point on parabola is.

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