#### Question

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*.

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#### Solution

The line, *x* = *a*, divides the area bounded by the parabola and *x* = 4 into two equal parts.

∴ Area OAD = Area ABCD

It can be observed that the given area is symmetrical about *x*-axis.

⇒ Area OED = Area EFCD

From (1) and (2), we obtain

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Solution for question: The Area Between X = Y2 And X = 4 is Divided into Two Equal Parts by the Line X = A, Find the Value Of A. concept: Area Under Simple Curves. For the courses CBSE (Science), CBSE (Commerce), CBSE (Arts)