1. Chapter 8 Class 12 Application of Integrals
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Question 4 - Miscellaneous - Chapter 8 Class 12 Application of Integrals

Last updated at Dec. 16, 2024 by Teachoo

Transcript

Question 4 Find the area enclosed by the parabola 4๐‘ฆ=3๐‘ฅ2 and the line 2๐‘ฆ = 3๐‘ฅ + 12 Area ADOEB = โˆซ1_(โˆ’2)^4โ–’ใ€–(3/2 ๐‘ฅ+6) ๐‘‘๐‘ฅใ€— = [3/2 (๐‘ฅ^2/2)+6๐‘ฅ]_(โˆ’2)^4 = [(3๐‘ฅ^2)/4+6๐‘ฅ]_(โˆ’2)^4 = [(3(4^2))/4+6(4)] โ€“ [(3ใ€–(โˆ’2)ใ€—^2)/4+6(โˆ’2)] = [12+24] โ€“ [3โˆ’12] = 36 + 9 = 45 Area required = Area ADOEB โ€“ Area ADOEBC = 45 โ€“ 18 = 27

  1. Chapter 8 Class 12 Application of Integrals
  2. Serial order wise

    3. Miscellaneous

    Case Based Questions (MCQ) →
Case Based Questions (MCQ) →
Chapter 8 Class 12 Application of Integrals
Serial order wise

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo