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Question

The point (4, 1) undergoes the following three transformations successively

(i) Reflection about the line y=x

(ii)Translation through 2 units along the positive direction of X-axis

(iii)Rotation through angle π/4about the origin in the anti-clock wise sense.

The coordinates of the final position of the point are


A
(12,72)
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B
(23,523)
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C
(-3, 1)
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D
(-2, 2)
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Solution

The correct option is A (12,72)
(i) Reflection gives the point (1, 4)
(ii) Translation along +ve X-axis by 2 units gives the point (3, 4)(5,θ) whereθ=tan-1(4/3)
(iii) Rotation in the anti-clock wise sense by π/4 gives the point

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