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JEE Advanced Mathematics question

MathematicsArea Under CurveJEE Advanced

Let the straight line divide the area enclosed by , and into two parts and such that . Then equals

Answer: (B)

Solution

The curve touches the -axis at , so the region is .

= (1- = [- = , = (1- = .

- = Missing argument for \frac\frac13 - Missing argument for \frac\frac

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Question ID VK-110798