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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 length of tangent drawn from the point (5, 3) to the circle \[{{x}^{2}}+{{y}^{2}}+2x+ky+17=0\]be 7, then k =

    A)            4    

    B)            - 4

    C)            - 6  

    D)            13/2

    Correct Answer: B

    Solution :

                         According to the condition,                    \[\sqrt{{{(5)}^{2}}+{{(3)}^{2}}+2(5)+k(3)+17}=7\]                    \[\Rightarrow \]\[61+3k=49\Rightarrow k=-4\].


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