### MCQs of An Application of Integrals

Showing 1 to 10 out of 102 Questions
1.
The area enclosed by y=x, y=1, y=3 and the Y-axis is _____ .
 (a) 2 (b) $\frac{9}{2}$ (c) 4 (d) $\frac{3}{2}$
2.
The area enclosed by the curve $y\mathit{=}\mathit{2}x\mathit{-}{x}^{\mathit{2}}$ and the X-axis is _____ .
 (a) $\frac{8}{5}$ (b) 2 (c) 8 (d) $\frac{4}{3}$
3.
The area enclosed by y=cosx, $\mathit{-}\frac{\mathit{\pi }}{\mathit{2}}\mathit{\le }x\mathit{\le }\frac{\mathit{\pi }}{\mathit{2}}$ and the X-axis is _____ .
 (a) 1 (b) 4 (c) 2 (d) $\mathrm{\pi }$
4.
The area bounded by the curve y=sinx, $\pi \mathit{\le }x\mathit{\le }\mathit{2}\pi$ and the X-axis is _____ .
 (a) $\mathrm{\pi }$ (b) 2 (c) -2 (d) 0
5.
The area enclosed by $y\mathit{=}{x}^{\mathit{2}}$, the X-axis and the line x=4 is devided into two congruent halves by the line x=a. The value of a is _____ .
 (a) 2 (b) ${2}^{\frac{4}{3}}$ (c) ${2}^{\frac{5}{3}}$ (d) 4
6.
The area of the region bounded by the lines x=2y+3, y=1, y=-1 and Y-axis is _____ .
 (a) 4 (b) $\frac{3}{2}$ (c) 6 (d) 8
7.
The area bounded by the parabola ${y}^{\mathit{2}}\mathit{=}\mathit{4}ax$ and its latus rectum is _____ .
 (a) $\frac{4}{3}{a}^{\mathit{2}}$ (b) $\frac{8}{3}{a}^{\mathit{2}}$ (c) $\frac{16}{3}{a}^{\mathit{2}}$ (d) $\frac{32}{3}{a}^{\mathit{2}}$
8.
Area bounded by the curve $y\mathit{=}\mathit{2}{x}^{\mathit{2}}$, the X-axis and the line x=1 is _____ .
 (a) 2 (b) 1 (c) $\frac{1}{3}$ (d) $\frac{2}{3}$
9.
The area bounded by the curve $y\mathit{=}x\left|\mathit{x}\right|$, X-axis and the lines x=-1 and x=1 is _____ .
 (a) 0 (b) $\frac{1}{3}$ (c) $\frac{2}{3}$ (d) $\frac{4}{3}$
10.
The area bounded by the curves y=cosx, y=sinx, Y-axis and $0⩽x⩽\frac{\mathrm{\pi }}{4}$ is _____ .
 (a) $2\left(\sqrt{2}-1\right)$ (b) $\sqrt{2}-1$ (c) $\sqrt{2}+1$ (d) $\sqrt{2}$
Showing 1 to 10 out of 102 Questions