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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The point on the parabola \[{{y}^{2}}=18x\], for which the ordinate is three times the abscissa, is [MP PET 2003]

    A)            (6, 2)                                         

    B)            (?2, ?6)

    C)            (3, 18)                                       

    D)            (2, 6)

    Correct Answer: D

    Solution :

               Let \[y=3x\],  then \[{{(3x)}^{2}}=18x\]                    Þ \[9{{x}^{2}}=18x\] Þ \[x=2\] and \[y=6.\]


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