JEE Main 2024 Mathematics question

MathematicsArea Under CurveJEE Main 2024

The area (in sq. units) of the part of the circle x² + y² = 169 which is below the line 5x – y = 13 is , where α, β are coprime numbers. Then α + β is equal to .

Answer: 171

Solution

The line meets the circle at (0, −13) and (5, 12). The required area is π(13)²/2 − [½ × 25 × 5 +

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Question ID VK-016919