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

  • question_answer
     If \[5x-12y+10=0\]and \[12y-5x+16=0\]are two tangents to a circle, then the radius of the circle is      [EAMCET 2003]

    A)            1    

    B)            2

    C)            4    

    D)            6

    Correct Answer: A

    Solution :

               Given tangents are                    \[5x-12y+10=0,\,\]\[5x-12y-16=0\]                          Radius\[=\frac{{{c}_{1}}-{{c}_{2}}}{2\sqrt{{{a}^{2}}+{{b}^{2}}}}=\frac{26}{2.13}=1\].


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