A rectangle ABCD, where A(0, 0), B(4, 0), C(4, 2), D(0, 2), undergoes the following transformations successively: i. \[{{f}_{1}}(x,y)\to (y,x)\] ii. \[{{f}_{2}}(x,y)\to (x+3y,y)\] iii. \[{{f}_{3}}(x,y)\to ((x-y)/2,(x+y)/2)\] The final figure will be

A rectangle ABCD, where A(0, 0), B(4, 0), C(4, 2), D(0, 2), undergoes

1.	A rectangle ABCD, where A(0, 0), B(4, 0), C(4, 2), D(0, 2), undergoes the following transformations successively: i. \[{{f}_{1}}(x,y)\to (y,x)\] ii. \[{{f}_{2}}(x,y)\to (x+3y,y)\] iii. \[{{f}_{3}}(x,y)\to ((x-y)/2,(x+y)/2)\] The final figure will be
A.	A square
B.	A rhombus
C.	A rectangle
D.	A parallelogram
Answer» E.

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A rectangle ABCD, where A(0, 0), B(4, 0), C(4, 2), D(0, 2), undergoes the following transformations successively: i. \[{{f}_{1}}(x,y)\to (y,x)\] ii. \[{{f}_{2}}(x,y)\to (x+3y,y)\] iii. \[{{f}_{3}}(x,y)\to ((x-y)/2,(x+y)/2)\] The final figure will be

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