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The point (4, 1) undergoes the following...

The point (4, 1) undergoes the following three transformations successively: (a) Reflection about the line y = x (b) Translation through a distance 2 units along the positive direction of the x-axis. (c) Rotation through an angle `pi/4` about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates.

Text Solution

AI Generated Solution

To solve the problem step by step, we will perform the three transformations on the point (4, 1) as described. ### Step 1: Reflection about the line y = x To reflect a point (x, y) about the line y = x, we swap the coordinates. For the point (4, 1): - After reflection: \[ ...
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Knowledge Check

  • The point (4,1) undergoes the following two successive transformations (i) Reflection about the line y=x (ii) Translation through a distance of 2 units along the positive x-axis. The coordinates of the new point are

    A
    (4,3)
    B
    (3,4)
    C
    (1,4)
    D
    `(7/3,7/2)`
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