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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.
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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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