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Solution for The Area Between X = Y2 And X = 4 is Divided into Two Equal Parts by the Line X = A, Find the Value Of A. - CBSE (Science) Class 12 - Mathematics

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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.

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

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2012 to Current)
Chapter 8: Application of Integrals
Q: 8 | Page no. 366
Solution 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.
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