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

  • question_answer
    The locus of the centre of a circle which passes through the point (a, 0) and touches the line \[x+1=0\], is

    A)            Circle                                        

    B)            Ellipse

    C)            Parabola                                   

    D)            Hyperbola

    Correct Answer: C

    Solution :

               The locus is a parabola as distance of centre from straight line = its distance from point (a, 0).


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