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

  • question_answer
    The equations of the tangents to the circle \[{{x}^{2}}+{{y}^{2}}=13\]at the points whose abscissa is 2, are

    A)            \[2x+3y=13,\,2x-3y=13\]    

    B)            \[3x+2y=13,\,2x-3y=13\]

    C)            \[2x+3y=13,\,\,3x-2y=13\]  

    D)            None of these

    Correct Answer: A

    Solution :

               Let the point be (2, y), then                    \[{{2}^{2}}+y{{'}^{2}}=13\Rightarrow y'=\pm 3\]                     Hence the required tangents are\[2x\pm 3y=13\].


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