1
JEE Main 2023 (Online) 13th April Evening Shift
+4
-1

The area of the region $$\left\{(x, y): x^{2} \leq y \leq\left|x^{2}-4\right|, y \geq 1\right\}$$ is

A
$$\frac{4}{3}(4 \sqrt{2}+1)$$
B
$$\frac{3}{4}(4 \sqrt{2}+1)$$
C
$$\frac{4}{3}(4 \sqrt{2}-1)$$
D
$$\frac{3}{4}(4 \sqrt{2}-1)$$
2
JEE Main 2023 (Online) 13th April Morning Shift
+4
-1

The area of the region enclosed by the curve $$f(x)=\max \{\sin x, \cos x\},-\pi \leq x \leq \pi$$ and the $$x$$-axis is

A
$$2 \sqrt{2}(\sqrt{2}+1)$$
B
4
C
$$2(\sqrt{2}+1)$$
D
$$4(\sqrt{2})$$
3
JEE Main 2023 (Online) 12th April Morning Shift
+4
-1

The area of the region enclosed by the curve $$y=x^{3}$$ and its tangent at the point $$(-1,-1)$$ is :

A
$$\frac{23}{4}$$
B
$$\frac{19}{4}$$
C
$$\frac{27}{4}$$
D
$$\frac{31}{4}$$

4
JEE Main 2023 (Online) 11th April Morning Shift
+4
-1

Area of the region $$\left\{(x, y): x^{2}+(y-2)^{2} \leq 4, x^{2} \geq 2 y\right\}$$ is

A
$$2 \pi+\frac{16}{3}$$
B
$$\pi-\frac{8}{3}$$
C
$$\pi+\frac{8}{3}$$
D
$$2 \pi-\frac{16}{3}$$
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