CBSE Class 12-science Answered

The point of intersection of the

Parabolas y² = 4x and x² = 4y are (0, 0) and (4, 4)

Now, the area of the region OAQBO bounded by curves y² = 4x and x² = 4y

(i)

Again, the area of the region OPQAO bounded by the curves x² = 4y, x = 0, x = 4andx-axis

(ii)

Similarly, the area of the region OBQRO bounded by the curve y² = 4x, y-axis,

y = 0 and y = 4

(iii)

From (i) (ii),(iii)it is concluded that the area of the region OAQBO = area of the region OPQAO = area of the region OBQRO, i.e., area bounded by parabolas y² = 4x and x² = 4y divides the area of the square in three equal parts.

Hence, the farmer will be able to divide the land equally among his three sons.

Equality helps to maintain peace and harmony in all aspect of society.