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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The points on the parabola \[{{y}^{2}}=36x\] whose ordinate is three times the abscissa are

    A)            (0, 0), (4, 12)                             

    B)            (1, 3),(4, 12)

    C)            (4, 12)                                       

    D)            None of these

    Correct Answer: A

    Solution :

               \[{{y}_{1}}=3{{x}_{1}}\]. According to given condition \[9x_{1}^{2}=36{{x}_{1}}\]                    Þ \[{{x}_{1}}=4,0\]Þ \[{{y}_{1}}=12,0\]                    Hence the points are (0,0) and (4,12).


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