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

If the square ABCD, where `A(0,0),B(2,0)C(2,2) and D(0,2)` undergoes the following three 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)`
then the final figure is a

A

square

B

parallelogram

C

rhombus

D

None of these

Text Solution

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The correct Answer is:
B
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