JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The parametric equation of the curve \[{{y}^{2}}=8x\]are

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

    B)            \[x=2{{t}^{2}},\ y=4t\]

    C)            \[x=2t,\ y=4{{t}^{2}}\]              

    D)            None of these

    Correct Answer: B

    Solution :

               Parametric equations of \[{{y}^{2}}=4ax\]are \[x=a{{t}^{2}},\,y=2at\]            Hence if equation is\[{{y}^{2}}=8x\], then parametric equations are\[x=2{{t}^{2}},y=4t\].


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