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 in Hindi and English Medium with Miscellaneous Exercises to view online or in PDF file format 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.




Class 12 Maths Exercise 8.1 Solutions in Videos

Class 12 Maths Chapter 8 Exercise 8.1 Solution
Class 12 Maths Exercise 8.1 Solution in Hindi

Class 12 Maths Exercise 8.2 Solutions in Videos

Class 12 Maths Chapter 8 Exercise 8.2 Solution
Class 12 Maths Exercise 8.2 Solution in Hindi

Class 12 Maths Chapter 8 Miscellaneous Exercise in Videos

Class 12 Maths Chapter 8 Miscellaneous Solution
Class 12 Maths Chapter 8 Miscellaneous in Hindi



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]



Important Questions on 12th Maths Chapter 8

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.

NCERT Solutions for Class 12 Maths Exercise 8.1 in English Medium
NCERT Solutions for Class 12 Maths Exercise 8.1 for up board
NCERT Solutions for Class 12 Maths Exercise 8.1 for cbse board
NCERT Solutions for Class 12 Maths Exercise 8.1 in PDF file format
NCERT Solutions for Class 12 Maths Exercise 8.1 for session 2020-2021
NCERT Solutions for Class 12 Maths Exercise 8.1 free download
NCERT Solutions for Class 12 Maths Exercise 8.1 latest updated free
NCERT Solutions for Class 12 Maths Exercise 8.2 in English Medium
NCERT Solutions for Class 12 Maths Exercise 8.2 for up board
NCERT Solutions for Class 12 Maths Exercise 8.2 for cbse board
NCERT Solutions for Class 12 Maths Exercise 8.2 session 2020-2021
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 in English Medium
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 for session 2020-2021
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 for up board
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 for cbse board
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 for mp board
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 in PDF format
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 free to download
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 updated format
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 for new session
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 free
class 12 math chapter 8 misc.
NCERT Solutions for Class 12 Maths Exercise 8.1 in Hindi Medium
Class 12 Maths solution chapter 8 exercise 8.1
Class 12 Maths solution chapter 8 exercise 8.1 in hindi medium
Class 12 Maths solution chapter 8 exercise 8.1 free to download
Class 12 Maths solution chapter 8 exercise 8.1 hindi men
Class 12 Maths solution chapter 8 exercise 8.1 up board solution
Class 12 Maths solution chapter 8 exercise 8.1 mp board solution
NCERT Solutions for Class 12 Maths Exercise 8.2 in Hindi Medium
NCERT Solutions for Class 12 Maths Exercise 8.2 updated format free
NCERT Solutions for Class 12 Maths Exercise 8.2 free to download
NCERT Solutions for Class 12 Maths Exercise 8.2 for mp board
NCERT Solutions for Class 12 Maths Exercise 8.2 online free
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 in Hindi Medium
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 up board ke lie
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 hindi men
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 free download
NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercise 8 pdf
CBSE Class 12 Maths Chapter 8 Miscellaneous
CBSE Class 12 Maths Chapter 8 Miscellaneous solution
CBSE Class 12 Maths Chapter 8 Miscellaneous ex.
CBSE Class 12 Maths Chapter 8 Miscellaneous in Hindi
CBSE Class 12 Maths Chapter 8 Miscellaneous in Hindi Medium
CBSE Class 12 Maths Chapter 8 Miscellaneous for up board
CBSE Class 12 Maths Chapter 8 Miscellaneous for intermediate +2