Ex 8.1, 8 - Area between x = y2, x = 4 is divided into equal - Area bounded by curve and horizontal or vertical line

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  1. Chapter 8 Class 12 Application of Integrals
  2. Serial order wise
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Ex 8.1, 8 The area between = 2 and = 4 is divided into two equal parts by the line = , find the value of a. Let AB represent the line = CD represent the line =4 and CBOAD represent the curve = 2 Since the line = divides the region into two equal parts Area of OBA = Area of ABCD 2 0 =2 4 0 = 4 Now, y2 = x y = Since, the curve is symmetric about we can take either value of So, lets take = 0 = 4 0 = 4 1 2 + 1 1 2 + 1 0 = 1 2 +1 1 2 +1 4 1+2 2 0 = 1+2 2 4 3 2 0 = 3 2 4 3 2 0= 4 3 2 3 2 2 3 2 = 4 3 2 Taking 2 3 root on both sides 2 2 3 3 2 2 3 = 4 3 2 2 3 2 2 3 =4 = 2 2 2 2 3 = 2 2 2 3 = 2 6 2 3 = 2 4 3 = 2 2 2 3 = 2 2 2 3 =

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