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

  • question_answer
    A point moves in such a way that its distance from origin is always 4. Then the locus of the point is       

    A) \[{{x}^{2}}+{{y}^{2}}=4\]

    B) \[{{x}^{2}}+{{y}^{2}}=16\]

    C) \[{{x}^{2}}+{{y}^{2}}=2\]

    D) None of these

    Correct Answer: B

    Solution :

    Required locus is \[\sqrt{{{(x-0)}^{2}}+{{(y-0)}^{2}}}=4\] \[\Rightarrow \,\,{{x}^{2}}+{{y}^{2}}=16\].


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