Question 1: Palette 1/14

TS-EAMCET 2025 MCQ

The area of the region bounded by $y=x^3, X$-axis, $x=-2$ and $x=4$ is

A

64

B

$81 / 4$

C

$66 / 5$

D

68

Question 2: Palette 2/14

TS-EAMCET 2025 MCQ

The area of the region bounded by the curves $y=x^3, y=x^2$ and the lines $x=0$ and $x=2$ is

A

$\frac{4}{3}$

B

$\frac{3}{2}$

C

$\frac{2}{3}$

D

$\frac{5}{3}$

Question 3: Palette 3/14

TS-EAMCET 2024 MCQ

The area of the region (in sq units) enclosed by the curves $y=8 x^{3}-1, y=0, x=-1$ and $x=1$ is

A

$\frac{15}{4}$

B

$\frac{15}{8}$

C

$\frac{19}{4}$

D

$\frac{19}{8}$

Question 4: Palette 4/14

TS-EAMCET 2024 MCQ

If the area of the region enclosed by the curve $a y=x^{2}$ and the line $x+y=2 a$ is $k a^{2}$, then $k=$

A

$\frac{2}{9}$

B

$\frac{9}{2}$

C

$\frac{3}{2}$

D

$\frac{2}{3}$

Question 5: Palette 5/14

TS-EAMCET 2024 MCQ

The area of the region enclosed by the curves $y^2=4(x+1)$ and $y^2=5(x-4)$ is

A

$\frac{280}{3}$

B

150

C

140

D

$\frac{200}{3}$

Question 6: Palette 6/14

TS-EAMCET 2024 MCQ

Area of the region enclosed between the curves $y^2=4(x+7)$ and $y^2=5(2-x)$ is

A

$\frac{32 \sqrt{2}}{3}$

B

$\frac{8}{3}$

C

$\frac{1}{6}$

D

$24 \sqrt{5}$

Question 7: Palette 7/14

TS-EAMCET 2023 MCQ

The area (in sq units) of the region bounded by the circle $x^2+y^2=64$, positive $X$-axis and the line $y=\sqrt{3} x$ is

A

$16 \pi / 3$

B

$8 \pi / 3$

C

$64 \pi / 3$

D

$32 \pi / 3$

Question 8: Palette 8/14

TS-EAMCET 2023 MCQ

The area (in sq units) of the region bounded by the curve $y=|\sin 2 x|$ and the $X$-axis in $[0,2 \pi]$ is

A

0

B

3

C

4

D

1

Question 9: Palette 9/14

TS-EAMCET 2023 MCQ

Area of the region bounded by the curve $y=2-x-3 x^2$, the $X$-axis, the $Y$-axis and the line $x=-2$ is

A

2

B

$\frac{44}{27}$

C

$\frac{9}{2}$

D

5

Question 10: Palette 10/14

TS-EAMCET 2023 MCQ

The area (in sq units) bounded by the curve $y=2 x-x^2$ and the line $y=-x$ is

A

$\frac{9}{2}$

B

$\frac{11}{2}$

C

$\frac{16}{3}$

D

$\frac{22}{5}$

Question 11: Palette 11/14

TS-EAMCET 2020 MCQ

The area (in sq. units) enclosed by the curves $y=2 x-x^2$ and $y=x^2-2 x-6$ is

A

$\frac{64}{3}$

B

$\frac{8}{3}$

C

$\frac{128}{3}$

D

$\frac{16}{3}$

Question 12: Palette 12/14

TS-EAMCET 2020 MCQ

The area (in sq. units) bounded by the parabola $y=x^2+3$, the tangent to the parabola at $(3,12)$ and the coordinate axes and lying in the first quadrant is

A

6

B

30

C

18

D

24

Question 13: Palette 13/14

TS-EAMCET 2020 MCQ

The area (in square units) of the region enclosed between the parabola $y^2=2 x$ and the line $y=4 x-1$

A

$\frac{9}{32}$

B

$\frac{7}{23}$

C

$\frac{16}{3}$

D

$\frac{15}{4}$

Question 14: Palette 14/14

TS-EAMCET 2020 MCQ

If the area of the region bounded by $y=\cos x, y=\sin x$, $x=\pi / 4$ and $x=\pi$ is bisected by the line $x=a$, then $\sin \left(a+\frac{\pi}{4}\right)=$

A

$\frac{\sqrt{2}}{2+\sqrt{2}}$

B

$\frac{\sqrt{3}+1}{2}$

C

$\frac{\sqrt{2}-1}{2 \sqrt{2}}$

D

$\frac{\sqrt{3}+1}{2 \sqrt{2}}$