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JEE Main & Advanced Mathematics Circle and System of Circles Question Bank Equations of circle, Geometrical problems regarding circle

  • question_answer
    If the coordinates of one end of the diameter of the circle \[{{x}^{2}}+{{y}^{2}}-8x-4y+c=0\] are (-3, 2), then the coordinates of other end are     [Roorkee 1995]

    A) (5, 3)                                         

    B) (6, 2)

    C) (1, -8)                                       

    D) (11, 2)

    Correct Answer: D

    Solution :

    Obviously the centre of the circle is (4, 2) which should be the middle point of the ends of diameter.                    Hence the other end is (11, 2).


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