A rectangle A B C D, 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+3 y, y) (iii) f_3(x, y) \to (\frac{x-y}{2}, \frac{x+y}{2}) The final figure will be

Correct Answer is : a parallelogram

CUSAT 2022 BTech Solved Paper Shift 1

Question : 136 of 200

Marks: +1, -0

A rectangle ABCD, where 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−y

,‌

x+y

)
The final figure will be

a square
a rhombus
a rectangle
a parallelogram

Validate

Go to Question:

Prev Question

Next Question