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Question

The point (4, 1) undergoes the following three transformations successively.
(i) Reflection about the line y = x
(ii) Transformation through a distance 2 unit along the positive direction of x-axis.
(iii) Rotation through an angle of π/4 about the origin in the anti-clockwise direction.
The final position of the point is given by the coordinates


Solution

The correct option is C
(i) (4, 1) (1, 4)
(ii) (1, 4) (3, 4)
(iii) X=xcos45ysin45
=12(34)=12andY=xsin45ycos45=12(3+4)=72Hencepointis(12,72)

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