Check sibling questions

Ex 8.1, 9 - Find area bounded by parabola y = x2 and y = |x| - Area between curve and line

Ex 8.1, 9 - Chapter 8 Class 12 Application of Integrals - Part 2
Ex 8.1, 9 - Chapter 8 Class 12 Application of Integrals - Part 3
Ex 8.1, 9 - Chapter 8 Class 12 Application of Integrals - Part 4

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Transcript

Ex 8.1, 9 Find the area of the region bounded by the parabola = 2 and = We know = & , <0 & , 0 Let OA represent the line = & OB represent the line = Since parabola is symmetric about its axis, x2 = y is symmetric about y axis Area of shaded region = 2 (Area of OBD) First, we find Point B, Point B is point of intersection of y = x & parabola We know that = Putting value of in equation of parabola i.e. = 2 = 2 2 =0 1 =0 So, x = 0, x = 1 B = 1 , 1 Finding Area of OBD Area OBD = Area OBP Area ODBP = 0 1 1 0 1 2 = 0 1 . 0 1 2 Area of shaded region = 2 (Area of OBD) = 2 0 1 . 0 1 2 = 2 2 2 0 1 3 3 0 1 = 2 1 0 2 1 0 3 = 2 1 2 1 3 = 2 3 2 6 = 1 3 Required Area = square units

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.