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

  • question_answer
    If \[{{c}^{2}}>{{a}^{2}}(1+{{m}^{2}}),\]then the line \[y=mx+c\]will intersect the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]

    A)            At one point                             

    B)            At two distinct points

    C)            At no point                               

    D)            None of these

    Correct Answer: C

    Solution :

               If \[{{c}^{2}}<\]or = or\[>{{a}^{2}}(1+{{m}^{2}})\], then line \[y=mx+c\] intersects the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] in two points, a point or no point. Here intersect at no point.


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