A rectangle ABCD, A ≡ (0, 0), B ≡ (4, 0), C ≡ (4, 2), D ≡ (0,2 – InterviewSolution

1.	A rectangle ABCD, A ≡ (0, 0), B ≡ (4, 0), C ≡ (4, 2), D ≡ (0,2) undergoes the following transformations successively (i) f1(x,y)→(y,x) (ii) f2(x,y)→(x+3y,y) (iii) f3(x,y)→(x−y2,x+y2). The final figure will be
Answer» A rectangle ABCD, 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) $f_{2} (x, y) \to (x + 3 y, y)$ (iii) $f_{3} (x, y) \to (\frac{x - y}{2}, \frac{x + y}{2})$ . The final figure will be

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