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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Ex 8.1, 4 Area of the region bounded by the curve 𝑦2=4𝑥, 𝑦-axis and the line 𝑦 = 3 is (A) 2 (B) 9/4 (C) 9/3 (D) 9/3Given curve 𝒚^𝟐=𝟒𝒙 We have to find area between y-axis and line y = 3 ∴ We have to find area of AOB Area of AOB = ∫1_𝟎^𝟑▒〖𝒙 𝒅𝒚〗 We know that y2 = 4x x = 𝒚^𝟐/𝟒 Now, Area of AOB = ∫1_0^3▒〖𝑥 𝑑𝑦〗 = ∫1_𝟎^𝟑▒〖𝒚^𝟐/𝟒 𝒅𝒚〗 = 1/4 ∫1_0^3▒〖𝑦^2 𝑑𝑦〗 = 1/4 [𝑦^3/3]_0^3 = 1/4 [(3^3 − 0^3)/3] = 1/4 [27/3] = 𝟗/𝟒 square units So, the correct answer is (b)

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.