Area Under The Curves · Mathematics · AP EAPCET

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MCQ (Single Correct Answer)

1

The area (in sq units) of the region given by $R=\left\{(x, y) ; \frac{y^2}{2} \leq x \leq y+4\right\}$ is

AP EAPCET 2025 - 27th May Morning Shift
2

The area of the region (in sq units) bounded by the curves $x^2+y^2=16$ and $y^2=6 x$ is

AP EAPCET 2025 - 26th May Evening Shift
3

The area (in sq. units) of the region bounded by the curves $y=x^2$ and $y=8-x^2$ is

AP EAPCET 2025 - 24th May Morning Shift
4

Area of the region (in sq. units) bounded by the curve $y=x^2-5 x+4, x=0, x=2$ and the $X$-axis is

AP EAPCET 2025 - 23rd May Evening Shift
5
The area (in sq. units) of the region bounded by the lines $x=0, x=\frac{\pi}{2}$ and $f(x)=\sin x, g(x)=\cos x$ is
AP EAPCET 2025 - 23rd May Morning Shift
6

The area of the region lying between the curves $y=\sqrt{4-x^2}, y^2=3 x$ and the $Y$-axis is

AP EAPCET 2025 - 22nd May Morning Shift
7

The area of the region (in sq. units) enclosed between the curves $y=|x|, y=[x]$ and the ordinates $x=-1$, $x=0, x=1$ is

AP EAPCET 2025 - 21st May Evening Shift
8

If $(a, \beta)$ is the stationary point of the curve $y=2 x-x^2$, then the area bounded by the curves $y=2^x, y=2 x-x^2, x=0$ and $x=\alpha$ is

AP EAPCET 2024 - 23th May Morning Shift
9
The area (in sq units) bounded by the curves $x=y^2$ and $x=3-2 y^2$ is
AP EAPCET 2024 - 22th May Morning Shift
10
Area of the region enclosed by the curves $3 x^2-y^2-2 x y+4 x+1=0$ and $3 x^2-y^2-2 x y+6 x+2 y=0$ is
AP EAPCET 2024 - 21th May Evening Shift
11
The area of the region under the curve $y=|\sin -\cos x|$, $0 \leq x \leq \frac{n}{2}$ and above $X$-axis, is (in sq units)
AP EAPCET 2024 - 21th May Morning Shift
12
Area of the region (in sq units) enclosed by the curves $y^2=8(x+2), y^2=4(1-x)$ and the $Y$-axis is
AP EAPCET 2024 - 20th May Morning Shift
13
The area (in sq units) of the smaller region lying above the $X$-axis and bounded between the circle $x^2+y^2=2 a x$ and the parabola $y^2=a x$ is
AP EAPCET 2024 - 19th May Evening Shift
14
The area of the region ( in sq units) enclosed by the curve $y=x^3-19 x+30$ and the $X$-axis, is
AP EAPCET 2024 - 18th May Morning Shift