Maths-
General
Easy

Question

The point (4,1) undergoes the following successively
i) reflection about the line y=x
ii) translation through a distance 2 unit along the positive direction of y-axis. The final position of the point is

  1. (3,4)
  2. (4,3)
  3. (-1,4)
  4. (1,6)

hintHint:

reflect the given point and then translate the obtained point along the y-axis.

The correct answer is: (1,6)


    Given That:       
    The point (4,1) undergoes the following successively
    i) reflection about the line y=x
    ii) translation through a distance 2 unit along the positive direction of y-axis. The final position of the point is
    >>> The point (4,1) on reflection gives (1,4).
    >>> translation through a distance 2 unit along the positive direction of y-axis , gives:
    (1,4)+(0,2) =  (1,6).
    >>> Therefore, the required point is (1,6).

    Therefore, the required point is (1,6).

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