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.

Question

Philoid · Accepted Answer

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,

Hence, the required value of a is .