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in Three-dimensional geometry by (52.5k points)

A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q( 1, 1) and R(2, 0). From this land, a neighbouring farmer F2 takes away the region which lies between the side PQ and a curve of the form y = xn (n > 1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ∆PQR, then the value of n is .......

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We know that the remaining area of land of the farmer F1 is given by:

Given: The area taken by farmer is 30% of the area of ∆PQR. 

The area of ΔPQR is given as

Therefore, the value of n is 4.

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