# NCERT Solutions for Class 12 Maths Chapter 8

NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1 and  Exercise 8.2 with Miscellaneous Exercises of Application of integrals to view online or 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. Join the Discussion Forum to share your knowledge.

 Class: 12 Subject: Maths – गणित Chapter 8: Application of integrals

## NCERT Solutions for class 12 Maths Chapter 8

Go back to Class 12 Maths Main Page

### Assignments for practice

##### 12 Maths Exercise 8.1 Solutions

NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1 is given below. For other questions visit to Exercise 8.2 or Miscellaneous Exercises or go back to Class 12 Maths Main Page or move to Top of the page.

##### 12 Maths Exercise 8.2 Solutions

NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.2 is given below. For other questions visit to Exercise 8.1 or Miscellaneous Exercises or go back to Class 12 Maths Main Page or move to Top of the page.

##### 12 Maths Miscellaneous Exercises

NCERT Solutions for class 12 Maths Chapter 8 Miscellaneous Exercise 8 is given below. For other questions visit to Exercise 8.1 or  Exercise 8.2 or go back to Class 12 Maths Main Page or move to Top of the page.

Visit to Class 12 Maths  Page or move to Top of the page

##### Previous year’s questions
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]

###### More questions for Practice
• 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]

#### What are the topics covered by ‘Applications of Integration’?

In Class 12 Chapter 8 ‘Applications of Integration’ deals with a specific application of integrals to find the area under simple curves, area between lines and arcs of circles, parabolas and ellipses, and finding the area bounded by the above said curves.

#### Fill in the blank: The area of the region bounded by the curve x = y2, y-axis and the line y = 3 and y = 4 is _______.

37/3 square units.

#### Fill in the blank: The area of the region bounded by the curve y = x2 + x, x-axis and the line x = 2 and x = 5 is equal to ________.

297/6 square units.

## 1 thought on “NCERT Solutions for Class 12 Maths Chapter 8”

1. supriya bharti says:

thank you so much sir and tiwariacademy is the best of academys