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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

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प्रश्न

The area between x = y2 and x = 4 is divided into two equal parts by the line x = a, find the value of a.

उत्तर

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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अध्याय 8: Application of Integrals - Exercise 8.1 [पृष्ठ ३६६]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 8 Application of Integrals
Exercise 8.1 | Q 8 | पृष्ठ ३६६

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