Maths Chapter 8 – Application of the Integrals final MCQ Question and Answers – MCQs for Practice

Maths Chapter 8 – Application of the Integrals final MCQ Question Answers for Various Entrance Exams

1. Question

a.49

b.62

c.25

d.43

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2. Question

a.d

b.b

c.a

d.c

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3. Question

a.a

b.b

c.d

d.c

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4. Question

a.b

b.d

c.a

d.c

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5. Question

a.a

b.b

c.d

d.c

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6. The area enclosed by the curve x = 3 cos t, y = 2sin t is

a.7π sq.units

b.8π sq.units

c.4π sq.units

d.6 π sq.units

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7. Question

a.π sq. units

b.4π sq. units

c.3π sq. units

d.2π sq. units

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8. Question

a.a

b.c

c.b

d.d

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9. Question

a.(3, 1)

b.(6,1)

c.(4, 1)

d.(5, 1)

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10. Question

a.a

b.c

c.b

d.d

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11. Question

a.d

b.c

c.a

d.b

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12. Question

a.d

b.a

c.b

d.c

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13. Question

a.c

b.d

c.a

d.b

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14. Question

a.neither has a local minimum nor local maximum

b.has a local maximum

c.None of these

d.has a local minimum

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15. Question

a.4π sq. units

b.2π sq. units

c.3π sq. units

d.7π sq. units

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16. Question

a.a

b.d

c.b

d.c

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17. Question

a.parallel

b.perpendicular

c.Intersecting but not at right angles

d.None of these

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18. Question

a.a

b.b

c.c

d.d

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19. Question

a.(1, ∞)

b.(-∞, ∞)

c.(0, ∞)

d.(-1, ∞)

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20. Area bounded by the curve y = sin x and the x-axis between x = 0 and x = 2π is

a.4 sq units

b.2 sq units

c.0 sq units

d.3 sq units

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21. Question

a.d

b.a

c.c

d.b

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22. Question

a.acceleration

b.rotation

c.retardation

d.velocity

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23. Question

a.b

b.a

c.c

d.d

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24. Question

a.c

b.a

c.d

d.b

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25. Question

a.a

b.b

c.c

d.d

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26. Question

a.c

b.a

c.d

d.b

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27. Question

a.4 sq. units

b.3 sq. units

c.1 sq, unit

d.2 sq. units

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28. The area of the region bounded by the line y = | x – 2 |, x = 1, x = 3 and x-axis is

a.1 sq. unit

b.2 sq, units

c.4 sq. units

d.3 sq. units

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29. Question

a.d

b.b

c.a

d.c

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30. Question

a.d

b.c

c.b

d.a

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31. Question

a.d

b.a

c.c

d.b

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32. Area of triangle whose two vertices formed from the x-axis and line y = 3 – |x| is

a.12 sq. units

b.9 sq. units

c.3 sq. units

d.None of these

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33. Question

a.c

b.b

c.d

d.a

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34. Question

a.c

b.a

c.d

d.b

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35. Question

a.c

b.d

c.a

d.b

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36. Question

a.45.76

b.44.76

c.45.46

d.44.46

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37. Question

a.d

b.b

c.c

d.a

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38. Question

a.d

b.b

c.c

d.a

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39. The area bounded by the lines y = |x| – 1 and y = -|x| + 1 is

a.1 sq. unit

b.2 sq. unit

c.22 sq. units

d.4 sq. units

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40. Question

a.c

b.b

c.a

d.d

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41. Question

a.c

b.b

c.d

d.a

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42. Question

a.a

b.b

c.c

d.d

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43. Question

a.a

b.c

c.d

d.b

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44. Question

a.(2, 4)

b.none of these

c.(2, -4)

d.(18, -12)

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45. If there is an error of 2% in measuring the length of a simple pendulum, then percentage error in its period is

a.4%

b.3%

c.2%

d.1%

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46. Area of the region bounded by the curve y = cos x between x = 0 and x = π is

a.1 sq. units

b.4 sq, units

c.2 sq. units

d.3 sq.units

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47. Question

a.2

b.-8

c.does not exist

d.5

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48. Question

a.d

b.c

c.b

d.a

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49. Question

a.(2, 3)

b.(2, 1)

c.(1, 2)

d.(2, -1)

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50. The equation of the normal to the curves y = sin x at (0, 0) is

a.y = 0

b.x – y = 0

c.x + y = 0

d.x = 0

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Also See :

• Maths Ch 1 – Relations and Functions MCQs
• Maths Ch 2 – Inverse Trigonometric Functions MCQs
• Maths Ch 3 – Matrices MCQs
• Maths Ch 4 – Determinants MCQs
• Maths Ch 5 – Continuity and Differentiability MCQs
• Maths Ch 6 – Applications of Derivatives MCQs
• Maths Ch 7 – Integrals MCQs
• Maths Ch 9 – Differential Equations MCQs
• Maths Ch 10 – Vectors MCQs
• Maths Ch 11 – Three Dimensional Geometry MCQs
• Maths Ch 12 – Linear Programming MCQs
• Maths Ch 13 – Multiplication Theorem Probability MCQs