JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    If \[x=my+c\]is a normal to the parabola \[{{x}^{2}}=4ay\], then the value of c is

    A)            \[-2am-a{{m}^{3}}\]                 

    B)            \[2am+a{{m}^{3}}\]

    C)            \[-\frac{2a}{m}-\frac{a}{{{m}^{3}}}\]                                          

    D)            \[\frac{2a}{m}+\frac{a}{{{m}^{3}}}\]

    Correct Answer: A

    Solution :

               The equation of the normal to \[{{x}^{2}}=4ay\]is of the form \[x=my-2am-a{{m}^{3}}.\] Therefore\[c=-2am-a{{m}^{3.}}\].


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