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.







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 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 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 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