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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    \[x-2={{t}^{2}},\ y=2t\] are the parametric equations of the parabola

    A)            \[{{y}^{2}}=4x\]                         

    B)            \[{{y}^{2}}=-4x\]

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

    D)            \[{{y}^{2}}=4(x-2)\]

    Correct Answer: D

    Solution :

               Here \[\frac{y}{2}=t\] and \[x-2={{t}^{2}}\]                    Þ \[(x-2)={{\left( \frac{y}{2} \right)}^{2}}\] Þ \[{{y}^{2}}=4(x-2)\].


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