A curve is such that the area of the region bounded by the coordinates axes, the curve and the ordinate of any point on it is equal to the cube of that ordinate the curve represent.
Given that,
The curve and the coordinate of any point on its equal to the cube of
that ordinates.
Let (h, k) be point on it is equal to the cube of that ordinate.
Given the area of the region bounded by the co-ordinate axis in above figure.
We know that the area of rectangle is
Area=length×breath
But Given that ,
Ordinate of point =k
h×k=k3 (given function )
h=k2
Hence it represent the parabola.