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

Transcript

Ex 8.1, 13 Area of the region bounded by the curve ๐‘ฆ2=4๐‘ฅ, ๐‘ฆ-axis and the line ๐‘ฆ = 3 is (A) 2 (B) 9/4 (C) 9/3 (D) 9/3 Given curve ๐‘ฆ^2=4๐‘ฅ We have to find area between y-axis and line y = 3 โˆด We have to find area of AOB Area of AOB = โˆซ1_0^3โ–’ใ€–๐‘ฅ ๐‘‘๐‘ฆใ€— We know that y2 = 4x x = ๐‘ฆ^2/4 Now, Area of AOB = โˆซ1_0^3โ–’ใ€–๐‘ฅ ๐‘‘๐‘ฆใ€— = โˆซ1_0^3โ–’ใ€–๐‘ฆ^2/4 ๐‘‘๐‘ฆใ€— = 1/4 โˆซ1_0^3โ–’ใ€–๐‘ฆ^2 ๐‘‘๐‘ฆใ€— = 1/4 [๐‘ฆ^3/3]_0^3 = 1/4 [(3^3 โˆ’ 0^3)/3] = 1/4 [27/3] = ๐Ÿ—/๐Ÿ’ Hence, option (B) is correct

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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.