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

  • question_answer
    The locus of a point which moves so that it is always equidistant from the point A(a, 0) and B (- a, 0) is  [MP PET 1984]

    A) A circle

    B) Perpendicular bisector of the line segment AB

    C) A line parallel to x-axis

    D) None of these

    Correct Answer: B

    Solution :

    Let point be (h, k) then, \[{{(h-a)}^{2}}+{{k}^{2}}={{(h+a)}^{2}}+{{k}^{2}}\] \[\Rightarrow \,\,4ha=0\,\,\Rightarrow \,\,h=0.\] Hence x = 0.


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