Q.

The image of the point (3, –8) under the transformation (x, y) → (2x + y, 3x – y) is

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a

(–2, 17)

b

(2, 17)

c

(–2, –17)

d

(2, –17)

answer is A.

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Detailed Solution

Let (x1, y1) be the image of the point (x, y) under the given transformation.Then, x1 = 2x + y = 2 (3) – 8 = –2and y1 = 3x – y = 3 (3) – (–8) = 17Hence, the image is (–2, 17).
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The image of the point (3, –8) under the transformation (x, y) → (2x + y, 3x – y) is