JEE Main 2024 Mathematics question

The parabola y² = 4x divides the area of the circle x² + y² = 5 in two parts. The area of the smaller part is equal to

Answer: (A)

Solution

The curves meet at (1, ±2). By symmetry the smaller part has area 2A₁ with A₁ = ∫₀¹ 2√x dx + ∫₁^{√5}√(5 − x²)dx = 4/3 + [5π/4 − 1 −

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Question ID VK-016536