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SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 chapter 3 - Application of Definite Integration [Latest edition]

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Chapters

12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 - Shaalaa.com

Chapter 3: Application of Definite Integration

MCQVery Short AnswersShort Answers ILong Answers II
MCQ

SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 Chapter 3 Application of Definite Integration MCQ

2 Marks each

MCQ | Q 1

The area of the region bounded by the curve y = sinx, X-axis and the lines x = 0, x = 4π is ______ sq.units

  • 2

  • 4

  • 16

MCQ | Q 2

The area of the region bounded by the ellipse x2/64 + y2/100 = 1, is ______ sq.units

  • 64π

  • 80π

  • `π/80`

  • 100π

MCQ | Q 3

The area bounded by the parabola y2 = x along the X-axis and the lines x = 0, x = 2 is ______ sq.units

  • `4/3`

  • `(4sqrt(2))/3`

  • `2/3`

  • `(2sqrt(2))/3`

MCQ | Q 4

The area bounded by the curve y2 = x2, and the line x = 8 is ______

  • 16 sq.units

  • 64 sq.units

  • 32 sq.units

  • 4 sq.units

MCQ | Q 5

The area of the region included between the parabolas y2 = 16x and x2 = 16y, is given by ______ sq.units

  • 256

  • `16/3`

  • `256/3`

  • `64/3`

MCQ | Q 6

The area enclosed between the two parabolas y2 = 20x and y = 2x is ______ sq.units

  • `20/3`

  • `40/3`

  • `10/3`

  • `25/3`

MCQ | Q 7

The area bounded by the parabola y2 = 32x the X-axis and the latus rectum is ______ sq.units

  • `512/3`

  • `512/5`

  • 512

  • `64/3`

MCQ | Q 8

The area bounded by the ellipse `x^2/4 + y^2/25` = 1 and and the line `x/2 + y/5` = 1 is ______ sq.units

  • 5(π – 2)

  • `5/2(π - 2)`

  • `5/3(π- 2)`

  • `5/4(π - 2)`

MCQ | Q 9

The area of triangle ΔABC whose vertices are A(1, 1), B(2, 1) and C(3, 3) is ______ sq.units

  • 1

  • 2

  • 3

  • 4

MCQ | Q 10

The area enclosed by the line 2x + 3y = 6 along X-axis and the lines x = 0, x = 3 is ______ sq.units

  • 1

  • 2

  • 3

  • 4

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Very Short Answers

SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 Chapter 3 Application of Definite Integration Very Short Answers

1 Mark

Very Short Answers | Q 1

Find the area bounded by the curve y2 = 36x, the line x = 2 in first quadrant 

Very Short Answers | Q 2

Find the area bounded by the curve y = sin x, the lines x = 0 and x = `pi/2`

Very Short Answers | Q 3

Find the area enclosed between y = cos x and X-axis between the lines x = `pi/2` and x ≤ `(3pi)/2`

Very Short Answers | Q 4

Find the area of the region bounded by the parabola y2 = 32x and its Latus rectum in first quadrant

Very Short Answers | Q 5

Find the area of the region bounded by the curve y = x2, the X−axis and the given lines x = 0, x = 3

Very Short Answers | Q 6

Find the area of the region bounded by the curve y2 = 8x, the X−axis and the given lines x = 1, x = 3, y ≥ 0

Very Short Answers | Q 7

Find the area of the region bounded by the curve x2 = 12y, the Y−axis and the given lines y = 2, y = 4, x ≥ 0

Very Short Answers | Q 8

Find the area of the ellipse `x^2/1 + y^2/4` = 1, in first quadrant

Very Short Answers | Q 9

Find the area of sector bounded by the circle x2 + y2 = 25, in the first quadrant−

Very Short Answers | Q 10

Using integration, find the area of the region bounded by the line 2y + x = 8 , X−axis and the lines x = 2 and x = 4

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Short Answers I

SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 Chapter 3 Application of Definite Integration Short Answers I

3 Marks

Short Answers I | Q 1

Find the area enclosed between the X-axis and the curve y = sin x for values of x between 0 to 2π

Short Answers I | Q 2

Find the area of the region bounded by the parabola x2 = 4y and The X-axis and the line x = 1, x = 4

Short Answers I | Q 3

Find the area of the region bounded by the parabola y2 = 16x and the line x = 4

Short Answers I | Q 4

Find the area of the region bounded by the curves x2 = 8y, y = 2, y = 4 and the Y-axis, lying in the first quadrant

Short Answers I | Q 5

Find the area of the region bounded by the curve y = sin x, the X−axis and the given lines x = − π, x = π

Short Answers I | Q 6

Find the area of the ellipse `x^2/36 + y^2/64` = 1, using integration

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Long Answers II

SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 Chapter 3 Application of Definite Integration Long Answers II

4 Marks

Long Answers II | Q 1

Find the area of the region bounded by the curves y2 = 4ax and x2 = 4ay

Long Answers II | Q 2

Find the area of the region lying between the parabolas 4y2 = 9x and 3x2 = 16y

Long Answers II | Q 3

Find the area of the sector bounded by the circle x2+ y2 = 16, and the line y = x in the first quadrant

Long Answers II | Q 4

Find the area of the region included between y = x2 + 5 and the line y = x + 7

Long Answers II | Q 5

Find the area enclosed between the circle x2 + y2 = 9, along X-axis and the line x = y, lying in the first quadrant

Long Answers II | Q 6

Find the area enclosed between the circle x2 + y2 = 1 and the line x + y = 1, lying in the first quadrant

Long Answers II | Q 7

Find the area of the region bounded by the curve (y − 1)2 = 4(x + 1) and the line y = (x − 1)

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Chapter 3: Application of Definite Integration

MCQVery Short AnswersShort Answers ILong Answers II
12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 - Shaalaa.com

SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 chapter 3 - Application of Definite Integration

SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 chapter 3 (Application of Definite Integration) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. SCERT Maharashtra Question Bank textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 chapter 3 Application of Definite Integration are Application of Definite Integration, Area Bounded by the Curve, Axis and Line, Area Between Two Curves.

Using SCERT Maharashtra Question Bank 12th Board Exam solutions Application of Definite Integration exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in SCERT Maharashtra Question Bank Solutions are important questions that can be asked in the final exam. Maximum students of Maharashtra State Board 12th Board Exam prefer SCERT Maharashtra Question Bank Textbook Solutions to score more in exam.

Get the free view of chapter 3 Application of Definite Integration 12th Board Exam extra questions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 and can use Shaalaa.com to keep it handy for your exam preparation

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