Q. 84.1( 72 Votes )
The area between x = y2 and x = 4 is divided into two equal parts by the line x = a, find the value of a.
It is given that the area between x = y2 and x = 4 is divided into two equal parts by the line x = a.
Thus, Area OAD = Area ABCD
Now, we can observed that the given area is symmetrical about x-axis.
⇒ Area OED = Area EFCD
Now, Area of OED =
Area of EFCD =
Therefore, from equations (1) and (2), we get,
a = (4)2/3
Hence, the required value of a is (4)2/3.
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