JEE Main 2024 Mathematics question

If the area of the region {(x, y) : 0 ≤ y ≤ min{2x, 6x – x²}} is A, then 12 A is equal to

Answer: 304

Solution

The curves y = 2x and y = 6x − x² meet at (0, 0) and (4, 8). The region is bounded by y = 2x for 0 ≤ x ≤ 4 and by

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Question ID VK-016645