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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    If the parabola \[{{y}^{2}}=4ax\] passes through (?3, 2), then length of its latus rectum is               [RPET 1986, 95]

    A)            2/3

    B)            1/3

    C)            4/3 

    D)            4

    Correct Answer: C

    Solution :

               The point \[(-3,2)\] will satisfy the equation \[{{y}^{2}}=4ax\]                    Þ \[4=-12a\]Þ \[4a=-\frac{4}{3}=\frac{4}{3}\],    (Taking positive sign).


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