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.


NCERT Solutions for class 12 Maths Chapter 8

NCERT Solutions for class 12 Maths Chapter 8

Go back to Class 12 Maths Main Page

Application of Integrals – Class 12 Maths



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.

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.

NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1
NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1 in pdf form




NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1 in english medium
NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1 download free



NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1 for intermediate up board
NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1 for final year +2



NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1 inter second year
NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1 all question answers

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 Chapter 8 Exercise 8.2
12 Maths Chapter 8 Exercise 8.2 solutions in pdf form



12 Maths Chapter 8 Exercise 8.2 download in english medium 12 Maths Chapter 8 Exercise 8.2 all question answers guide

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.

12 Maths Chapter 8 Miscellaneous Exercise 8



12 Maths Chapter 8 Miscellaneous Exercise 8 solutions
12 Maths Chapter 8 Miscellaneous Exercise 8 sols in pdf




12 Maths Chapter 8 Miscellaneous Exercise 8 answers in pdf free
12 Maths Chapter 8 Miscellaneous Exercise 8 for up board guide




12 Maths Chapter 8 Miscellaneous Exercise 8 all questions in english medium
12 Maths Chapter 8 Miscellaneous solutions



12 Maths Chapter 8 Misc solutions
12 Maths Chapter 8 Miscellaneous solutions in pdf



12 Maths Chapter 8 Miscellaneous solutions online

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]


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