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

  • question_answer
    If the centre of a circle is (2, 3) and a tangent is \[x+y=1\], then the equation of this circle is                      [RPET 1985, 89]

    A)            \[{{(x-2)}^{2}}+{{(y-3)}^{2}}=8\]                                   

    B)            \[{{(x-2)}^{2}}+{{(y-3)}^{2}}=3\]

    C)            \[{{(x+2)}^{2}}+{{(y+3)}^{2}}=2\sqrt{2}\]                 

    D)            \[{{(x-2)}^{2}}+{{(y-3)}^{2}}=2\sqrt{2}\]

    Correct Answer: A

    Solution :

               Find the radius by finding perpendicular distance from centre of the circle on the tangent and then find the equation of circle.


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