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JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    The curve represented by \[x=3(\cos t+\sin t)\], \[y=4(\cos t-\sin t)\] is            [EAMCET 1988; DCE 2000]

    A)            Ellipse                                       

    B)            Parabola

    C)            Hyperbola                                 

    D)            Circle

    Correct Answer: A

    Solution :

               \[\frac{{{x}^{2}}}{9}+\frac{{{y}^{2}}}{16}=(1+\sin 2t)+(1-\sin 2t)=2\]


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