The area of the region (x, y) : 0 x 9 4 , 0 y 1, x 3y, x + y 2 is

JEE Advanced 2021 Mathematics question

The area of the region

{(x, y) : 0 x ,\ 0 y 1,\ x 3y,\ x + y 2}

Answer: (A)

For a fixed the region is . The lines and cross at . For : width . For : width (it vanishes at ,

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Question ID VK-033879