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

  • question_answer
    The length of the tangent from the point (4, 5)to the circle \[{{x}^{2}}+{{y}^{2}}+2x-6y=6\]is                                       [DCE 1999]

    A)            \[\sqrt{13}\]                             

    B)            \[\sqrt{38}\]

    C)            \[2\sqrt{2}\]                             

    D)            \[2\sqrt{13}\]

    Correct Answer: A

    Solution :

               Length of the tangent                    \[=\sqrt{{{4}^{2}}+{{5}^{2}}+2\cdot 1\cdot 4+2\,(-3)\cdot 5-6}=\sqrt{13}\].


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