Ex 8.1, 4 (MCQ) - Area bounded by y2 = 4x, y-axis and line y = 3 - Ex 8.1

part 2 - Ex 8.1, 4 (MCQ) - Ex 8.1 - Serial order wise - Chapter 8 Class 12 Application of Integrals
part 3 - Ex 8.1, 4 (MCQ) - Ex 8.1 - Serial order wise - Chapter 8 Class 12 Application of Integrals

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Ex 8.1, 4 Area of the region bounded by the curve š‘¦2=4š‘„, š‘¦-axis and the line š‘¦ = 3 is (A) 2 (B) 9/4 (C) 9/3 (D) 9/3Given curve š’š^šŸ=šŸ’š’™ We have to find area between y-axis and line y = 3 ∓ We have to find area of AOB Area of AOB = ∫1_šŸŽ^šŸ‘ā–’ć€–š’™ š’…š’šć€— We know that y2 = 4x x = š’š^šŸ/šŸ’ Now, Area of AOB = ∫1_0^3ā–’ć€–š‘„ š‘‘š‘¦ć€— = ∫1_šŸŽ^šŸ‘ā–’ć€–š’š^šŸ/šŸ’ š’…š’šć€— = 1/4 ∫1_0^3ā–’ć€–š‘¦^2 š‘‘š‘¦ć€— = 1/4 [š‘¦^3/3]_0^3 = 1/4 [(3^3 āˆ’ 0^3)/3] = 1/4 [27/3] = šŸ—/šŸ’ square units So, the correct answer is (b)

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