NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1, 8.2 & miscellaneous exercises of Application of integrals in PDF form to free download. Class 12 NCERT solutions for other subjects (Physics, Chemistry, Biology, Physical Education, Business studies, etc.) are also available in PDF e-books to download. download CBSE Board exam papers with answers and solutions.

## NCERT Solutions for class 12 Maths Chapter 8

**Back to NCERT Solutions for Class 12 Maths Main Page**

### Application of Integrals – NCERT solutions class 12 Maths

**NCERT Chapter to study online and answers given in the end of ncert books.**

**NCERT Chapter to study online and answers given in the end of ncert books.**

*These books are very good for revision and more practice. These book are also confined to NCERT Syllabus.*

*These books are very good for revision and more practice. These book are also confined to NCERT Syllabus.*

**Assignments for practice**

**Assignments for practice**

#### Previous year’s questions

- Using integration, find the area of region bounded by the triangle whose vertices are (-2, 1), (0, 4) and (2, 3). [Delhi 2017]
- Find the area bounded by the circle x² + y² = 16 and the line √3 y = x in the first quadrant, using integration. [Delhi 2017]
- Find the area of the region bounded by the y-axis, y = cos x and y = sin x, x lies in [0, π/2]. [CBSE Sample Paper 2017]
- Using integration find the area of the region {(x, y): x² + y² ≤ 2ax, y² ≥ ax, x, y ≥ 0}. [Delhi 2016]
- Using integration, find the area bounded by the tangent to the curve 4y = x² at the point (2, 1) and the lines whose equations are x = 2y and x = 3y – 3. [CBSE Sample Paper 2016]
- Find the area of the region in the first quadrant enclosed by the y-axis, the line y = x and the circle x² + y² = 32, using integration. [Delhi 2015C]
- Using integration find the area of the triangle formed by positive x-axis and tangent and normal to the circle x² + y² = 4 at (1, √3). [Delhi 2015]
- Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x² + y² = 32. [Delhi 2014]
- Using integration, find the area bounded by the curve x² = 4y and the line x = 4y – 2. [Delhi 2013]
- Using integration, find the area of the region enclosed between the two circles x² + y² = 4 and (x – 2)² + y² = 4. [Delhi 2013]

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