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

  • question_answer
    Through which of the following pairs of  points does the circle \[{{x}^{2}}+{{y}^{2}}-12x+1=0\]pass                          [MP PET 1983]

    A)            (?1, 0), \[(6,\sqrt{35})\]          

    B)            \[(3,-\sqrt{26}),(-3,\sqrt{26})\]

    C)            \[(6,-\sqrt{35})\], \[(3,-\sqrt{26})\]

    D)            \[(0,\,-1),(-6,-\sqrt{35})\]

    Correct Answer: C

    Solution :

               By inspection of the points \[(6,\,-\sqrt{35})\] and \[(3,\,-\sqrt{26})\] lie on the circle.


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