Question 4 - Area between curve and line - Chapter 8 Class 12 Application of Integrals
Last updated at July 21, 2026 by Teachoo
Area between curve and line
Question 2
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Chapter 8 Class 12 Application of Integrals
Concept wise
- Area under curve
- Area bounded by curve and horizontal or vertical line
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Area between curve and line
- Area between curve and curve
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Transcript
Question 4 Find the area enclosed by the parabola 4š¦=3š„2 and the line 2š¦ = 3š„ + 12 Area ADOEB = ā«1_(ā2)^4āć(3/2 š„+6) šš„ć = [3/2 (š„^2/2)+6š„]_(ā2)^4 = [(3š„^2)/4+6š„]_(ā2)^4 = [(3(4^2))/4+6(4)] ā [(3ć(ā2)ć^2)/4+6(ā2)] = [12+24] ā [3ā12] = 36 + 9 = 45 Area required = Area ADOEB ā Area ADOEBC = 45 ā 18 = 27
