# Ex 8.1, 10 - Chapter 8 Class 12 Application of Integrals (Important Question)

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 8.1, 10 Find the area bounded by the curve 2=4 and the line =4 2 Let AB represent the line =4 2 AOB represent the curve 2 =4 First we find Points A and B Points A & B are the intersection of curve and line We know that, =4 2 Putting in equation of curve , we get 2 =4 4 2 2 =4 16 2 +4 16 =4 16 2 16 4 +4=0 16 2 20 +4=0 4 4 2 5 +1 =0 4 2 5 +1=0 4 2 4 +1=0 4 1 1 1 =0 4 1 1 =0 So, y = 1 4 , y = 1 As Point A is in 2nd Quadrant A = 1 , 1 4 & Point B is in 1st Quadrant B = 2 , 1 Finding required area Required Area = Area APBQ Area APOQBA = 1 2 1 1 2 2 Required Area = 1 2 + 2 4 1 2 2 4 = 1 4 1 2 +2 1 4 1 2 2 = 1 4 2 2 +2 1 2 1 4 3 3 1 2 = 1 4 2 2 1 2 2 +2 2 1 1 4 2 3 1 3 3 = 1 4 4 1 2 +2 3 1 4 8 + 1 3 = 1 4 3 2 +6 1 4 9 3 = 1 4 3 2 +6 3 = 1 4 3 2 +3 = 1 4 9 2 = 9 8 Required Area = Square units

Chapter 8 Class 12 Application of Integrals

Class 12

Important Questions for exams Class 12

- Chapter 1 Class 12 Relation and Functions
- Chapter 2 Class 12 Inverse Trigonometric Functions
- Chapter 3 Class 12 Matrices
- Chapter 4 Class 12 Determinants
- Chapter 5 Class 12 Continuity and Differentiability
- Chapter 6 Class 12 Application of Derivatives
- Chapter 7 Class 12 Integrals
- Chapter 8 Class 12 Application of Integrals
- Chapter 9 Class 12 Differential Equations
- Chapter 10 Class 12 Vector Algebra
- Chapter 11 Class 12 Three Dimensional Geometry
- Chapter 12 Class 12 Linear Programming
- Chapter 13 Class 12 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.