Let A = \(x, y) ∈ R^2 : y ≥ 0, 2x ≤ y ≤ √(4-(x-1)^2)\ and B = \(x, y) ∈ R × R : 0 ≤ y ≤ min \2x, √(4-(x-1)^2) \\. Then the ratio of the area of A to the area of B is

Let A = \(x, y) ∈ R^2 : y ≥ 0, 2x ≤ y ≤ √(4-(x-1)^2)\ and B… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 29 Jan · Shift 1

Let

A = \{(x, y) \in \mathbb{R}^2 : y \geq 0, 2x \leq y \leq \sqrt{4-(x-1)^2}\}

and

B = \{(x, y) \in \mathbb{R} \times \mathbb{R} : 0 \leq y \leq \min\left\{2x, \sqrt{4-(x-1)^2}\right\}\}

. Then the ratio of the area of

A

to the area of

B

Show answer

Correct option: A

[JEE Main 2023 · 29 Jan · Shift 1]

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