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Last updated at Jan. 3, 2020 by Teachoo

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Ex 8.2 , 5 Using integration find the area of the triangular region whose sides have the equations ๐ฆ=2๐ฅ+1, ๐ฆ=3๐ฅ+1 and ๐ฅ=4 Lets Draw the figure & x = 4 Therefore, Required Area = Area ABC Finding point of Intersection B & C For B B is intersection of y = 3x + 1 & x = 4 Putting x = 4 in y = 3x + 1 y = 3(4) + 1 = 13 So, B(4, 13) For C C is intersection of y = 2x + 1 & x = 4 Putting x = 4 in y = 2x + 1 y = 2(4) + 1 = 9 So, C(4, 9) Finding Area Required Area ABC = Area OABD โ Area OACD Area OABD Area OABD = โซ1_0^4โใ๐ฆ ๐๐ฅใ Here, y = 3x + 1 Area OABD = โซ1_0^4โใ(3๐ฅ+1) ๐๐ฅใ = [(3๐ฅ^2)/2+๐ฅ]_0^4 = [(3ใ(4)ใ^2)/2+4โ[(3ใ(0)ใ^2)/2+0]] = (3 ร 16)/2 + 4 โ 0 = 24 + 4 = 28 Area OACD Area OACD = โซ1_0^4โใ๐ฆ ๐๐ฅใ Here, y = 2x + 1 Area OACD = โซ1_0^4โใ(2๐ฅ+1) ๐๐ฅใ = [(2๐ฅ^2)/2+๐ฅ]_0^4 = [(2ใร4ใ^2)/2+4โ[(2ใ ร 0ใ^2)/2+0]] = 16 + 4 โ 0 = 20 Area Required = Area ABDO โ Area ACDO = 28 โ 20 = 8 square unit

Ex 8.2

Ex 8.2,1
Not in Syllabus - CBSE Exams 2021

Ex 8.2, 2 Not in Syllabus - CBSE Exams 2021

Ex 8.2, 3 Important Not in Syllabus - CBSE Exams 2021

Ex 8.2, 4 Important Not in Syllabus - CBSE Exams 2021

Ex 8.2, 5 Important Not in Syllabus - CBSE Exams 2021 You are here

Ex 8.2, 6 Not in Syllabus - CBSE Exams 2021

Ex 8.2 , 7 Not in Syllabus - CBSE Exams 2021

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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.