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JEE Main & Advanced Mathematics Circle and System of Circles Question Bank Chord of contact of tangent, Pole and Polar

  • question_answer
    If the lengths of the chords intercepted by the circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy=0\]from the co-ordinate axes be 10 and 24 respectively, then the radius of the circle is

    A)            17  

    B)            9

    C)            14  

    D)            13

    Correct Answer: D

    Solution :

               Given \[2\sqrt{{{g}^{2}}}=10\Rightarrow \ |g|\ =5\]                    and \[2\sqrt{{{f}^{2}}}=24\Rightarrow \ |f|\ =12\]                    Therefore, radius is \[\sqrt{{{5}^{2}}+{{12}^{2}}}=13\].


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