a farmer has a piece of land he wishes to divide equqllyin his 2 sons to maintain peace - Maths - Application of Integrals

Question

a farmer has a piece of land he wishes to divide equqllyin his 2
sons to maintain peace n harmony in the family, if hisnland is
denoted by curve y^2=4x n x=4 n to divide the areaequqllyhe drawsa
line x=a , then what is the value of a ? I REQUEST U TO ANS ALL
THE QUES ,, U MAY TAKE UR TIME,,,,, BUT DO ANS EACH OF THEM
PLS

Anuradha Sharma · Accepted Answer

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Area of the portion between y = 2x and x = 4 is, Area = 2∫04xdx=2×163=323 square unitNow this area is divided in 2 equal part by x =a so area of the portion between y = 2x and x =a is, Area = 2∫0axdx=4×a323=43a32 square unitNow according to the question, 2×43a32=323a = 1613