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JEE Main & Advanced Mathematics Circle and System of Circles Question Bank Tangent and normal to a circle

  • question_answer
    The points of contact of the circle \[{{x}^{2}}+{{y}^{2}}+2x+2y+1=0\]and the co-ordinate axes are

    A)            \[(1,\,0),(0,\,1)\]                        

    B)            \[(-1,\,0),(0,\,1)\]

    C)            \[(-1,\,0),(0,\,-1)\]                     

    D)            \[(1,\,\,0),(0,\,-1)\]

    Correct Answer: C

    Solution :

               Points of contact on the co-ordinate axes are \[(-g,\ 0)\] and \[(0,\ -f)\]. Hence the required points are\[(-1,\ 0),\ (0,\ -1)\].


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