JEE Advanced 2018 Mathematics question

MathematicsArea Under CurveJEE Advanced 2018

A farmer has a land in the shape of a triangle with vertices at , and . From this land, a neighbouring farmer takes away the region which lies between the side and a curve of the form . If the area of the region taken away by the farmer is exactly 30% of the area of , then the value of is .

Answer: 4

Solution

Area of . The curve joins P and Q and lies below on ,

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Question ID VK-026749