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The Area Between X = Y2 And X = 4 is Divided into Two Equal Parts by the Line X = A, Find the Value Of A. - Mathematics

The area between x = y2 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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APPEARS IN

NCERT Class 12 Maths
Chapter 8 Application of Integrals
Q 8 | Page 366
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