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JEE Main & Advanced Mathematics Circle and System of Circles Question Bank System of circles

  • question_answer
    If the straight line \[y=mx\]is outside the circle\[{{x}^{2}}+{{y}^{2}}-20y+90=0\], then                                  [Roorkee 1999]

    A)            \[m>3\]                                    

    B)            \[m<3\]

    C)            \[|m|>3\]                                

    D)            \[|m|<3\]

    Correct Answer: D

    Solution :

               If the straight line y = mx is outside the given circle then distance from centre of circle > radius of circle \[\frac{10}{\sqrt{1+{{m}^{2}}}}>\sqrt{10}\]                    Þ (1 + m2) < 10  Þ m2 < 9 Þ |m|< 3.


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