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

  • question_answer
    The straight line \[x-y-3=0\]touches the circle \[{{x}^{2}}+{{y}^{2}}-4x+6y+11=0\]at the point whose co-ordinates are  [MP PET  1993]

    A)            \[(1,-2)\]                                    

    B)            \[(1,\,2)\]

    C)            \[(-1,\,2)\]                                  

    D)            \[(-1,-2)\]

    Correct Answer: A

    Solution :

               Trick: The point must satisfy the line and the circle simultaneously. Obviously the point of contact is \[(1,\ -2)\].


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