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Q.

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 F2takes away the region which lies between the side 𝑃𝑄 and a curvof the e y=xn(n>1) . If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPOR , then the value of n is

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answer is 4.

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Detailed Solution

Area =∫01X-XndX=310∣X22-Xn+1n+101=310  12-1n+1=310  ∴  n+1=5  ⇒  n=4
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