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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The equations \[x=\frac{t}{4},\ y=\frac{{{t}^{2}}}{4}\] represents

    A)            A circle                                      

    B)            A parabola

    C)            An ellipse                                  

    D)            A hyperbola

    Correct Answer: B

    Solution :

               Eliminating t, we get                    \[16{{x}^{2}}=4y\Rightarrow {{x}^{2}}=\frac{1}{4}y\], which is a parabola.


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