JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The equation of parabola whose vertex and focus are (0, 4) and (0, 2) respectively, is       [RPET 1987, 89, 90, 91]

    A)            \[{{y}^{2}}-8x=32\]                   

    B)            \[{{y}^{2}}+8x=32\]

    C)            \[{{x}^{2}}+8y=32\]                   

    D)            \[{{x}^{2}}-8y=32\]

    Correct Answer: C

    Solution :

               Vertex \[(0,4)\]; focus \[(0,2)\]; \[\therefore \] \[a=2\]            Hence parabola is \[{{(x-0)}^{2}}=-4.2(y-4)\] i.e.,\[{{x}^{2}}+8y=32\].


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