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JEE Main & Advanced Mathematics Circle and System of Circles Question Bank Equations of circle, Geometrical problems regarding circle

  • question_answer
    If a circle whose centre is (1, ?3) touches the line \[3x-4y-5=0\], then the radius of the circle is

    A)            2    

    B)            4

    C)            \[\frac{5}{2}\]                          

    D)            \[\frac{7}{2}\]

    Correct Answer: A

    Solution :

               Radius = perpendicular distance from \[(1,\ -3)\] to \[3x-4y-5=0\],  i.e. \[\left| \frac{3+12-5}{\sqrt{{{5}^{2}}}} \right|\ =2\].


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