Chapters
Chapter 1.2: Matrics
Chapter 1.3: Trigonometric Functions
Chapter 1.4: Pair of Lines
Chapter 1.5: Vectors and Three Dimensional Geometry
Chapter 1.6: Line and Plane
Chapter 1.7: Linear Programming Problems
Chapter 2.1: Differentiation
Chapter 2.2: Applications of Derivatives
Chapter 2.3: Indefinite Integration
Chapter 2.4: Definite Integration
Chapter 2.5: Application of Definite Integration
Chapter 2.6: Differential Equations
Chapter 2.7: Probability Distributions
Chapter 2.8: Binomial Distribution

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 MCQ
2 Marks each
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
8
16
The area of the region bounded by the ellipse x2/64 + y2/100 = 1, is ______ sq.units
64π
80π
`π/80`
100π
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`
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
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`
The area enclosed between the two parabolas y2 = 20x and y = 2x is ______ sq.units
`20/3`
`40/3`
`10/3`
`25/3`
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`
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)`
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
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
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
Find the area bounded by the curve y2 = 36x, the line x = 2 in first quadrant
Find the area bounded by the curve y = sin x, the lines x = 0 and x = `pi/2`
Find the area enclosed between y = cos x and X-axis between the lines x = `pi/2` and x ≤ `(3pi)/2`
Find the area of the region bounded by the parabola y2 = 32x and its Latus rectum in first quadrant
Find the area of the region bounded by the curve y = x2, the X−axis and the given lines x = 0, x = 3
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
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
Find the area of the ellipse `x^2/1 + y^2/4` = 1, in first quadrant
Find the area of sector bounded by the circle x2 + y2 = 25, in the first quadrant−
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
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
Find the area enclosed between the X-axis and the curve y = sin x for values of x between 0 to 2π
Find the area of the region bounded by the parabola x2 = 4y and The X-axis and the line x = 1, x = 4
Find the area of the region bounded by the parabola y2 = 16x and the line x = 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
Find the area of the region bounded by the curve y = sin x, the X−axis and the given lines x = − π, x = π
Find the area of the ellipse `x^2/36 + y^2/64` = 1, using 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 Long Answers II
4 Marks
Find the area of the region bounded by the curves y2 = 4ax and x2 = 4ay
Find the area of the region lying between the parabolas 4y2 = 9x and 3x2 = 16y
Find the area of the sector bounded by the circle x2+ y2 = 16, and the line y = x in the first quadrant
Find the area of the region included between y = x2 + 5 and the line y = x + 7
Find the area enclosed between the circle x2 + y2 = 9, along X-axis and the line x = y, lying in the first quadrant
Find the area enclosed between the circle x2 + y2 = 1 and the line x + y = 1, lying in the first quadrant
Find the area of the region bounded by the curve (y − 1)2 = 4(x + 1) and the line y = (x − 1)
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
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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.
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