1
JEE Main 2024 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1

The area of the region $$\left\{(x, y): y^2 \leq 4 x, x<4, \frac{x y(x-1)(x-2)}{(x-3)(x-4)}>0, x \neq 3\right\}$$ is

A
$$\frac{32}{3}$$
B
$$\frac{16}{3}$$
C
$$\frac{8}{3}$$
D
$$\frac{64}{3}$$
2
JEE Main 2024 (Online) 30th January Morning Shift
MCQ (Single Correct Answer)
+4
-1

The area (in square units) of the region bounded by the parabola $$y^2=4(x-2)$$ and the line $$y=2 x-8$$, is :

A
7
B
8
C
9
D
6
3
JEE Main 2023 (Online) 13th April Evening Shift
MCQ (Single Correct Answer)
+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
$$\frac{3}{4}(4 \sqrt{2}-1)$$
4
JEE Main 2023 (Online) 13th April Morning Shift
MCQ (Single Correct Answer)
+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
$$4(\sqrt{2})$$
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