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

  • question_answer
    The equation of the circle which touches both the axes and whose radius is a, is                                        [MP PET 1984]

    A)            \[{{x}^{2}}+{{y}^{2}}-2ax-2ay+{{a}^{2}}=0\]

    B)            \[{{x}^{2}}+{{y}^{2}}+ax+ay-{{a}^{2}}=0\]

    C)            \[{{x}^{2}}+{{y}^{2}}+2ax+2ay-{{a}^{2}}=0\]

    D)            \[{{x}^{2}}+{{y}^{2}}-ax-ay+{{a}^{2}}=0\]

    Correct Answer: A

    Solution :

               Required equation is \[{{(x-a)}^{2}}+{{(y-a)}^{2}}={{a}^{2}}\]                    \[\Rightarrow {{x}^{2}}+{{y}^{2}}-2ax-2ay+{{a}^{2}}=0\].


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