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JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    The centre of the ellipse \[4{{x}^{2}}+9{{y}^{2}}-16x-54y+61=0\] is [MP PET 1992]

    A)            (1, 3)                                         

    B)            (2, 3)

    C)            (3, 2)                                         

    D)            (3, 1)

    Correct Answer: B

    Solution :

               \[4{{(x-2)}^{2}}+9{{(y-3)}^{2}}=36\]            Hence the centre is (2, 3).


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