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JCECE Engineering JCECE Engineering Solved Paper-2005

  • question_answer
    The equation of the parabola with vertex at the origin and directrix \[y=2\] is:

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

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

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

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

    Correct Answer: D

    Solution :

    Since vertex is origin and directrix of parabola is\[y=2\] \[\therefore \]  Focus\[a=-2\] \[\therefore \]Required equation of parabola is                 \[{{x}^{2}}=4\cdot 2\cdot y\] \[\Rightarrow \]               \[{{x}^{2}}=-8y\]


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