CBSE Class 12 Sample Paper for 2021 Boards
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CBSE Class 12 Sample Paper for 2021 Boards
Last updated at July 23, 2026 by Teachoo
Note : This is similar to Ex 8.1, 11 of NCERT – Chapter 8 Class 12 Applications of Integration
Check the answer here https:// www.teachoo.com /3335/730/Ex-8.1--11---Find-area-bounded-by-y2--4x-and-line-x--3/category/Ex-8.1/
Transcript
Question 24 Find the area of the region bounded by the parabola š¦2 = 8š„ and the line š„ = 2. Let AB represents the line š„=2 and AOB represent the curve š¦^2=8š„ Area of AOBC = 2 Ć [Area of AOC] = 2 Ć ā«_š^šāćš.š šć We know that š¦^2=8š„ š¦=Ā±ā8š„ š=Ā±šāšš As AOC is in 1st Quadrant ā“ š¦=2ā2 āš„ ā“ Area of AOBC = 2 Ć ā«_0^2ā暦.šš„ć = 2 ā«_0^2āć2ā2 āš„ šš„ć = 4ā2 ā«_0^2āćāš„ šš„ć = 4ā2 ā«_0^2āć(š„)^(1/2) šš„ć = 4ā2 [š„^(1/2+1)/(1/2+1)]_0^2 =4ā2 Ć 2/3 [š„^(3/2) ]_0^2 = (8ā2)/3 [(2)^(3/2)ā0] = (8ā2)/3 [(2)^(3/2)ā0] =(8ā2)/3 [(ā2)^3 ] =(8ā2)/3 [ ā2 Ć ā2 Ć ā2 ] = 8/3 [ 2 Ć 2] = šš/š square units ā“ Required Area = šš/š square units
