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

  • question_answer
    The angle between the tangents to the circle \[{{x}^{2}}+{{y}^{2}}=169\]at the points (5, 12) and (12, ?5), is

    A)            \[{{30}^{o}}\]                      

    B)            \[{{45}^{o}}\]

    C)            \[{{60}^{o}}\]                      

    D)            \[{{90}^{o}}\]

    Correct Answer: D

    Solution :

               The equations of tangents to the given circle will be\[5x+12y=169\] and\[12x-5y=169\]. Obviously the angle between the tangents is\[{{90}^{o}}\].


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