JEE Main 2024 Mathematics question

MathematicsArea Under CurveJEE Main 2024

The area of the region enclosed by the parabola (y − 2)² = x − 1, the line x − 2y + 4 = 0 and the positive coordinate axes is .

Answer: 5

Solution

The line x = 2y − 4 touches the parabola x = (y − 2)² + 1 at (2, 3). For 0 ≤ y ≤ 3 the right boundary is the parabola; the left boundary

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Question ID VK-017008