# Ex 8.1, 13 - Chapter 8 Class 12 Application of Integrals

Last updated at Dec. 12, 2019 by Teachoo

Last updated at Dec. 12, 2019 by Teachoo

Transcript

Ex 8.1, 13 Area of the region bounded by the curve ๐ฆ2=4๐ฅ, ๐ฆ-axis and the line ๐ฆ = 3 is (A) 2 (B) 9/4 (C) 9/3 (D) 9/3 Given curve ๐ฆ^2=4๐ฅ We have to find area between y-axis and line y = 3 โด We have to find area of AOB Area of AOB = โซ1_0^3โใ๐ฅ ๐๐ฆใ We know that y2 = 4x x = ๐ฆ^2/4 Now, Area of AOB = โซ1_0^3โใ๐ฅ ๐๐ฆใ = โซ1_0^3โใ๐ฆ^2/4 ๐๐ฆใ = 1/4 โซ1_0^3โใ๐ฆ^2 ๐๐ฆใ = 1/4 [๐ฆ^3/3]_0^3 = 1/4 [(3^3 โ 0^3)/3] = 1/4 [27/3] = ๐/๐ Hence, option (B) is correct

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