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

  • question_answer
    The new coordinates of a point (4, 5), when the origin is shifted to the point (1,-2) are [MNR 1988; IIT 1989; UPSEAT 2000]

    A) (5, 3)

    B) (3, 5)

    C) (3, 7)

    D) None of these

    Correct Answer: C

    Solution :

    We know that if the origin is shifted to (h, k), then new coordinates (x, y) becomes (x - h, y - k). Therefore, the new coordinate of (4, 5) with respect to new origin (1, - 2) are (3, 7).


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