# NCERT Solutions for class 12 Maths Chapter 8

NCERT Solutions for class 12 Maths Chapter 8 Application of integrals Exercise 8.1 and Exercise 8.2 with Miscellaneous Exercises to view online or in PDF form to free download for new session 2020-2021.

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. Join the Discussion Forum to share your knowledge.## NCERT Solutions for class 12 Maths Chapter 8

Class: | 12 |

Subject: | Maths |

Chapter 8: | Application of integrals |

### 12th Maths Chapter 8 Solutions

NCERT Solutions for class 12 Maths Chapter 8 all exercises including miscellaneous exercise are given below to download free in PDF updated for new academic session 2020-21. Download NCERT Books 2020-21 based on latest CBSE Syllabus for new academic session. Join the discussion forum to ask your doubts related to NIOS and CBSE Board.

### Chapter 8 Solutions in English Medium

### Chapter 8 Solutions in PDF

- Download Exercise 8.1 in PDF
- Download Exercise 8.2 in PDF
- Download Miscellaneous Exercise 8
- NCERT Book Chapter 8
- NCERT Book Answers
- Revision Book Chapter 8
- Revision Book Answers
- Download Assignment 1
- Download Assignment 2
- Download Assignment 2 Answers
- Download Assignment 3
- Download Assignment 4
- Visit to 12th Maths Main Page

#### Important Questions for practice

1. 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]

2. 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]

3. 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]

4. Using integration, find the area bounded by the curve x² = 4y and the line x = 4y – 2. [Delhi 2013]

5. Using integration, find the area of the region enclosed between the two circles x² + y² = 4 and (x – 2)² + y² = 4. [Delhi 2013]

##### Questions from Board Papers

1. Using integration, find the area of region bounded by the triangle whose vertices are (-2, 1), (0, 4) and (2, 3). [Delhi 2017]

2. Find the area bounded by the circle x² + y² = 16 and the line √3 y = x in the first quadrant, using integration. [Delhi 2017]

3. 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]

4. Using integration find the area of the region {(x, y): x² + y² ≤ 2ax, y² ≥ ax, x, y ≥ 0}. [Delhi 2016]

5. 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]