JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank Transformation of axes and Locus

  • question_answer
    The equation of the locus of all points equidistant from the point (4,2) and the x-axis, is     [CEE 1993]

    A) \[{{x}^{2}}+8x+4y-20=0\]

    B) \[{{x}^{2}}-8x-4y+20=0\]

    C) \[{{y}^{2}}-4y-8x+20=0\]

    D) None of these

    Correct Answer: B

    Solution :

    \[{{(x-4)}^{2}}+{{(y-2)}^{2}}={{y}^{2}}\,\,\Rightarrow \,\,{{x}^{2}}-8x-4y+20=0\].


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