Q. 84.1( 72 Votes )

# The area between x = y^{2} and x = 4 is divided into two equal parts by the line x = a, find the value of a.

Answer :

It is given that the area between x = y^{2} 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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