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

  • question_answer
    The area of the curve \[{{x}^{2}}+{{y}^{2}}=2ax\]is [MP PET 1996]

    A)            \[\pi {{a}^{2}}\]                    

    B)            \[2\pi {{a}^{2}}\]

    C)            \[4\pi {{a}^{2}}\]                 

    D)            \[\frac{1}{2}\pi {{a}^{2}}\]

    Correct Answer: A

    Solution :

               \[{{x}^{2}}+{{y}^{2}}-2ax=0\] Obviously, radius of the circle is a. Hence the area of triangle is \[\pi {{a}^{2}}\].


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