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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 \[lx+my+n=0\]is normal to the circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\], if                              [MP PET 1995]

    A)            \[lg+mf-n=0\]                         

    B)            \[lg+mf+n=0\]

    C)            \[lg=mf-n=0\]                         

    D)            \[lg-mf+n=0\]

    Correct Answer: A

    Solution :

               Since normal always passes through centre of circle, therefore \[(-g,\ -f)\]must lie on\[lx+my+n=0\]. Hence\[lg+mf-n=0\].


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