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If the square ABCD where A(0,0), B(2,0),...

If the square ABCD where A(0,0), B(2,0), C(2,2), D(0,2) undergoes the following the transformations successively
(i) `f_(1)(x,y) to f(y,x)`
(ii) `f_(2) (x,y) to f(x + 3y, y)`
(iii) `f_(3) (x,y) to f((x-y)/(2),(x + y)/(2))` then find nature of the final figure of ABCD

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The correct Answer is:
Parallelogram
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