MCQs of An Application of Integrals

An Application of Integrals MCQs

MCQs of An Application of Integrals

Showing 71 to 80 out of 102 Questions

71.

The area bounded by the curves y = cosx, y = sinx and

\frac{π}{4} \leq x \leq \frac{π}{2}

is _____.

(a)	$\sqrt{2} + 1$
(b)	$\sqrt{2} - 1$
(c)	$2 (\sqrt{2} - 1)$
(d)	$2 (\sqrt{2} + 1)$

72.

The area bounded by the parabolas y = 3x² and x = 3y² is _____.

(a)	$\frac{1}{9}$
(b)	$\frac{1}{27}$
(c)	$\frac{2}{27}$
(d)	$\frac{2}{9}$

73.

The area bounded by the curve y = 5 sinx,

0 \leq x \leq \frac{π}{2}

is _____.

(a)	5
(b)	10
(c)	$\frac{5}{2}$
(d)	20

74.

The area under the curve y = sin²x, X - axis and between

x = - \frac{π}{2} and x = \frac{π}{2}

is _____.

(a)	$\frac{π}{4}$
(b)	$\frac{π}{2}$
(c)	$π$
(d)	$2 π$

75.

The area a bounded by x = 2y - y² and Y - axis is _____ .

(a)	1
(b)	$\frac{2}{3}$
(c)	$\frac{4}{3}$
(d)	$\frac{8}{3}$

76.

The area bounded by the curve

y = |x - 7|

, X - axis and the lines x = 3 and x = 6 is _____.

(a)	3
(b)	$\frac{9}{2}$
(c)	$\frac{15}{2}$
(d)	15

77.

The area of region between the curve x² = 4y and the line y = 6 is _____ .

(a)	$16 \sqrt{6}$
(b)	$8 \sqrt{6}$
(c)	$4 \sqrt{6}$
(d)	$32 \sqrt{6}$

78.

The area of the segment formed by the circle x² + y² = a² and the line

x = \frac{a}{\sqrt{2}}

is _____.

(a)	$\frac{{πa}^{2}}{4}$
(b)	$\frac{a^{2}}{4} (π - 2)$
(c)	$\frac{a^{2}}{4} (π + 4)$
(d)	$\frac{a^{2}}{4} (π - 1)$

79.

The area of the region bounded by

y = |x - 1|

and y = 1 is _____.

(a)	$\frac{1}{2}$
(b)	1
(c)	$\frac{3}{2}$
(d)	2

80.

The slope of the tangent to the curve y = f(x) at (x, f(x)) is 2x + 1. If the curve passes through (1, 2), then the area of the region bounded by the curve, X - axis and the line x = 1 is _____.

(a)	$\frac{5}{6}$
(b)	$\frac{6}{5}$
(c)	$\frac{1}{6}$
(d)	6

Showing 71 to 80 out of 102 Questions