Definite Integrals Test

Result

Definite Integrals Test - 27

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Weekly Quiz Competition

Question 1
4 / -1

The part of circle x² + y² = 9 in between y = 0 and y = 2 is revolved about y-axis. The volume of generating solid will be

A

B
12π

C
16π

D
28π

Solution
Question 2
4 / -1

The area of the region bounded by the curve y = x|x|, x-axis and the ordinates x = 1, x = –1 is given by

A
zero

B

C

D
1

Solution
Question 3
4 / -1

The area bounded by the curves y² = 2x + 1 and x = y + 1 is

A

B

C

D

Solution
Question 4
4 / -1

The area bounded by the curves y = √x, 2y + 3 = x and x-axis in the 1st quadrant is

A
9

B

C
36

D
18

Solution
Question 5
4 / -1

The area enclosed between the curve y = log_e (x + e) and the co-ordinate axes is

A
3

B
4

C
1

D
2

Solution
Question 6
4 / -1

The area of the region bounded by the curve 9x² + 4y² – 36 = 0 is

A
9π

B
4π

C
36π

D
6π

Solution
Question 7
4 / -1

Area bounded by curves y = x² and y = 2 – x² is

A
8/3

B
3/8

C
3/2

D
None of these

Solution
Question 8
4 / -1

The area enclosed between the parabola y = x² – x + 2 and the line y = x + 2 in sq.units equals

A
8/3

B
1/3

C
2/3

D
4/3

Solution
Question 9
4 / -1

Area (in square units) enclosed by y = 1; 2x + y = 2 and x + y = 2 is

A
1/2

B
1/4

C
1

D
2

Solution
Question 10
4 / -1

The area (in sq. unit) of the region bounded by the curves 2x = y² – 1 and x = 0 is

A
1/3

B
2/3

C
1

D
2

Solution