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

  • question_answer
    A point moves so that its distance from the point (-1, 0) is always three times its distance from the point (0, 2). The locus of the point is   

    A) A line

    B) A circle

    C) A parabola

    D) An ellipse

    Correct Answer: B

    Solution :

    \[{{(x+1)}^{2}}+{{y}^{2}}={{3}^{2}}\,\left[ {{x}^{2}}+{{(y-2)}^{2}} \right]\] \[\Rightarrow \,\,8\,({{x}^{2}}+{{y}^{2}})-36y-2x+35=0\], which is a circle.


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