Manipal Engineering Manipal Engineering Solved Paper-2011

  • question_answer
    The equation of parabola whose vertex and focus are (0, 4) and (0, 2) respectively, is

    A) \[{{y}^{2}}-8x=32\]         

    B)        \[{{y}^{2}}+8x=32\]

    C) \[{{x}^{2}}+8y=32\]        

    D)        \[{{x}^{2}}-8y=32\]

    Correct Answer: C

    Solution :

    Since, vertex is (0, 4) and focus is (0, 2). \[\therefore \]  \[a=2\] \[\therefore \]Equation of parabola is                 \[{{(x-0)}^{2}}=-4\cdot 2(y-4)\]                 \[\Rightarrow \,{{x}^{2}}+8y=32\]


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