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

  • question_answer
    If the line \[y=\sqrt{3}x+k\] touches the circle \[{{x}^{2}}+{{y}^{2}}=16\],  then k =

    A)            0    

    B)            2

    C)            4    

    D)            8

    Correct Answer: D

    Solution :

               \[k=\pm 4\sqrt{1+3}=\pm 8\] .


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