# Ex 8.1, 10 - Chapter 8 Class 12 Application of Integrals

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

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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.