JEE Main 2024 Mathematics question

MathematicsArea Under CurveJEE Main 2024

Let the area of region {(x, y) : x – 2y + 4 ≥ 0, x + 2y² ≥ 0, x + 4y² ≤ 8, y ≥ 0} be , where m and n are coprime numbers. Then m + n is equal to .

Answer: 119

Solution

In the first quadrant the region lies between the curves; integrating with respect to x: Area =

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Question ID VK-016735