JEE Main & Advanced Mathematics Conic Sections Question Bank Self Evaluation Test - Conic Sections

  • question_answer
    The curve represented by\[x=2(cost+sint),,y=5(cost-sint)\] is

    A) A circle

    B) A parabola

    C) An ellipse

    D) A hyperbola

    Correct Answer: C

    Solution :

    [c] \[x=2\cos \,t+sin\,t\] \[y=5(cos\,t-sin\,t)\Rightarrow \frac{{{x}^{2}}}{4}+\frac{{{y}^{2}}}{25}=2\Rightarrow \] Ellipse


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