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

  • question_answer
    The line \[ax+by+c=0\] is a normal to the circle \[{{x}^{2}}+{{y}^{2}}={{r}^{2}}\]. The portion of the line \[ax+by+c=0\] intercepted by this circle is of length 

    A)            r     

    B)            \[{{r}^{2}}\]

    C)            2r   

    D)            \[\sqrt{r}\]

    Correct Answer: C

    Solution :

               Length of intercepted part is diameter i.e., 2r.


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