Application of Integrals Test

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Application of Integrals Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

The area of the loop between the curve y² = 4x, y-axis and the line y = 3 is

A
2

B
9/4

C
6√3

D
none of these
Question 2
1 / -0

Area of the region bounded by the curves y = 2^x , y = 2x - x² , x = 0 and x = 2 is given by

A
(3/log 2) - 4/3

B
(3/log 2) + 4/3

C
3*log 2 - 4/3

D
3*log 2 + 4/3
Question 3
1 / -0

The area of the figure bounded by the curves y = |x - 1| and y = 3 - |x| is

A
2

B
3

C
4

D
1
Question 4
1 / -0

The inequality x² /a² + y² /b² ≥ 1 represents

A
the region enclosed by the ellipse x² /a² + y² /b² = 1

B
the region lying outside by the ellipse x² /a² + y² /b² = 1

C
the region either inside or outside by the ellipse x² /a² + y² /b² = 1

D
None of these
Question 5
1 / -0

The areas of the figure into which the curve y² = 6x divided the circle x² + y² = 16 in the ratio is

A
2/3

B
(4π + √3) : (8π - √3)

C
(4π - √3) : (8π + √3)

D
None of these
Question 6
1 / -0

The area bounded by the curves y = e^x and y = e^-x and the straight line x = 1 is

A
e + 1/e - 2

B
e - 1/e - 2

C
e + 1/e + 2

D
none of these
Question 7
1 / -0

The area enclosed between the curves y = a sin x, x-axis is

A
2a

B
a

C
a/2

D
none of these
Question 8
1 / -0

If A is the area lying between the curve y = sin x and x-axis between x = 0 and x = π/2 then the area of the region between the curve y = sin 2x and x-axis in the same interval is given by

A
A/2

B
A

C
2A

D
none of these
Question 9
1 / -0

If all powers of x in the equation of the given curve are even, then it is

A
symmetric about x-axis

B
symmetric about y-axis

C
symmetric in opposite quadrants

D
None of these
Question 10
1 / -0

The area of the triangle ABC, coordinates of whose vertices are A(2, 0), B (4, 5) and C (6, 3) is

A
3.5

B
5.5

C
7.5

D
9.5

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Re-Attempt Weekly Quiz Competition

Application of Integrals Test - 2

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Application of Integrals Test - 2

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SHARING IS CARING

Question 1

​​​​​​2

9/4

6√3

none of these

Question 2

(3/log 2) - 4/3

(3/log 2) + 4/3

3*log 2 - 4/3

3*log 2 + 4/3

Question 3

2

3

4

1

Question 4

the region enclosed by the ellipse x2 /a2 + y2 /b2 = 1

the region lying outside by the ellipse x2 /a2 + y2 /b2 = 1

the region either inside or outside by the ellipse x2 /a2 + y2 /b2 = 1

None of these

Question 5

2/3

(4π + √3) : (8π - √3)

(4π - √3) : (8π + √3)

None of these

Question 6

e + 1/e - 2

e - 1/e - 2

e + 1/e + 2

none of these

Question 7

2a

a

a/2

none of these

Question 8

A/2

A

2A

none of these

Question 9

symmetric about x-axis

symmetric about y-axis

symmetric in opposite quadrants

None of these

Question 10

3.5

5.5

7.5

9.5

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2

the region enclosed by the ellipse x² /a² + y² /b² = 1

the region lying outside by the ellipse x² /a² + y² /b² = 1

the region either inside or outside by the ellipse x² /a² + y² /b² = 1