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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 \[{{x}^{2}}+{{y}^{2}}=50\]at the points where the line \[x+7=0\]meets it, are

    A)            \[7x\pm y+50=0\]                  

    B)            \[7x\pm y-5=0\]

    C)            \[y\pm 7x+5=0\]                    

    D)            \[y\pm 7x-5=0\]

    Correct Answer: A

    Solution :

               Points where \[x+7=0\] meets the circle \[{{x}^{2}}+{{y}^{2}}=50\] are \[(-7,\ 1)\] and\[(-7,\ -1)\]. Hence equations of tangents at these points are \[-7x\pm y=50\] or\[7x\pm y+50=0\].


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