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# NCERT Solutions for Class 12 maths chapter 8

NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1, 8.2 & miscellaneous exercises of Application of integrals 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 solutions. ## NCERT Solutions for class 12 Maths Chapter 8

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### Assignments for practice

#### 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 x^2 + y^2 = 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): x^2 + y^2 ≤ 2ax, y^2 ≥ ax, x, y ≥ 0}. [Delhi 2016]
5. Using integration, find the area bounded by the tangent to the curve 4y = x^2 at the point (2, 1) and the lines whose equations are x = 2y and x = 3y – 3. [CBSE Sample Paper 2016]
6. Find the area of the region in the first quadrant enclosed by the y-axis, the line y = x and the circle x^2 + y^2 = 32, using integration. [Delhi 2015C]
7. Using integration find the area of the triangle formed by positive x-axis and tangent and normal to the circle x^2 + y^2 = 4 at (1, √3). [Delhi 2015]
8. Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x^2 + y^2 = 32. [Delhi 2014]
9. Using integration, find the area bounded by the curve x^2 = 4y and the line x = 4y – 2. [Delhi 2013]
10. Using integration, find the area of the region enclosed between the two circles x^2 + y^2 = 4 and (x – 2)^2 + y^2 = 4. [Delhi 2013]