

Subscribe to our Youtube Channel - https://you.tube/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
About the Author