JEE Questions for Maths Definite Integrals Quiz 5 - MCQExams.com

0%
π/6
0%
π/9
0%
π/12
0%
π/16

0%
1
0%
1/4
0%
-1
0%
-1/4
0%
-4

0%
3
0%
√3
0%
1/3
0%
None of these

0%
e
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
e + 1
0%
e – 1
0%
1 – e
0%
e

0%
0
0%
2)
0%
0%
None of these

0%
0
0%
∞
0%
1/2
0%
None of these

0%
1
0%
0
0%
1/2
0%
∞

0%
0%
2)
0%
0%
None of these

0%
1
0%
0
0%
cex
0%
log x

0%
2/9
0%
2/15
0%
8/45
0%
5/2

0%
0
0%
1
0%
∞
0%
None of these

0%
zero
0%
2/3
0%
–1
0%
1

0%
0%
2)
0%
0%
None of the these

0%
x
0%
1
0%
0
0%
None of these

0%
π
0%
aπ
0%
π/2
0%
2π

The area bounded by the curves y = |x| – 1 and y = – |x| + 1 is

0%
1
0%
2
0%
2√ 2
0%
4

The area bounded by the curves y = ln⁡ x, y = ln⁡|x|, y = |ln ⁡x| and y = |ln⁡|x|| is

0%
4 sq.units
0%
6 sq.units
0%
10 sq.units
0%
None of these

0%
1 < α < 2
0%
α < 0
0%
0 < α < 1
0%
None of these

0%
20
0%
8
0%
10
0%
18

The sine and cosine curves intersects infinitely many times giving bounded regions of equal areas. The area of one of such region is

0%
0%
2)
0%
0%

0%
[x]
0%
1/2 [x]
0%
3[x]
0%
2[x]

0%
0%
2)
0%
0
0%
None of these

Area between the curve y = cos x and x-axis when 0 ≤ x ≤ 2π is

0%
2
0%
4
0%
0
0%
3

0%
2 sq.unit
0%
1 sq.unit
0%
3 sq.unit
0%
4 sq.unit

Area bounded by parabola y² = x and straight line 2y = x is

0%
0%
1
0%
0%

Area bounded by lines y = 2 + x, y = 2 – x and x = 2 is

0%
3
0%
4
0%
8
0%
16

The ratio of the areas bounded by the curves y = cos x and y = cos 2x between x = 0, x = π/3 and x-axis is

0%
√2 : 1
0%
1 : 1
0%
1 : 2
0%
2 : 1

The area bounded by y = |sin x|, x-axis is and the lines |x| = π is

0%
2
0%
3
0%
4
0%
None of these

For 0 ≤ x ≤ π, the area bounded by y = x and y = x + sin x,is

0%
2
0%
4
0%
2π
0%
4π

The area of the region (in the square unit) bounded by the curve x² = 4y, line x = 2 and x-axis is

0%
1
0%
2/3
0%
4/3
0%
8/3

Area bounded by the curve xy – 3x – 2y – 10 = 0, x-axis and the lines x = 3, x = 4 is

0%
16 log 2 – 13
0%
16 log 2 – 3
0%
16 log 2 + 3
0%
None of these

The area bounded by the curve y² = x, line y = 4 and y-axis is

0%
0%
2)
0%
0%
None of these

The measurement of the area bounded by the co-ordinate axes and the curve y = log_ex is

0%
1
0%
2
0%
3
0%
∞

The area enclosed between the curves y² = x and y = |x| is

0%
2/3
0%
1
0%
1/6
0%
1/3

The area of the triangle formed by the tangent to the hyperbola xy = a² and co-ordinate axes is

0%
a2
0%
2a2
0%
3a2
0%
4a2

The area formed by triangular shaped region bounded by the curves y = sin x, y = cos x and x = 0 is

0%
0%
1
0%
0%

The part of straight line y = x + 1 between x = 2 and x = 3 is revolved about x-axis,then the curved surface of the solid thus generated is

0%
37 π/3
0%
2)
0%
37π
0%

The area of the region by curves y = x log x and y = 2x – 2x² =

0%
1/12
0%
3/12
0%
7/12
0%
None of these

The area bounded by the curve y = x, x-axis and ordinates x = –1 to x = 2 is

0%
0
0%
1/2
0%
3/2
0%
5/2

The area inside the parabola y² = 4ax between the lines x = a and x = 4a is equal to

0%
8a2
0%
4a2
0%
0%

The area bounded by y = –x² + 2x + 3 and y = 0 is

0%
32
0%
32/3
0%
1/32
0%
1/3

0%
0%
2)
0%
0%

Area enclosed by the parabola ay = 3(a² – x²) and x-axis is

0%
4a2 sq.unit
0%
12a2 sq.unit
0%
4a3 sq.unit
0%
None of these

The area of the region bounded by y = |x – 1| and y = 1 is

0%
2
0%
1
0%
1/2
0%
None of these

The area of the curve xy² = a² (a – x) bounded by y – axis is

0%
πa2
0%
2πa2
0%
3πa2
0%
4πa2

The area enclosed by the parabolas y = x² – 1 and y = 1 – x² is

0%
1/3
0%
2/3
0%
4/3
0%
8/3

The area of the region bounded by the curves y = |x – 2|, x = 1, x = 3 and the x–axis is

0%
4
0%
2
0%
3
0%
1

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JEE Questions for Maths Definite Integrals Quiz 5 - MCQExams.com

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