Consider the collection of all curves of the form y=a−bx2 that pass through the point (2,1) where a and b are positive real numbers. If the minimum area of the region bounded by y=a−bx2 and the x−axis is √A sq. units then the value of A∈N is

Consider the collection of all curves of the form y=a−bx2 that pass

1.	Consider the collection of all curves of the form y=a−bx2 that pass through the point (2,1) where a and b are positive real numbers. If the minimum area of the region bounded by y=a−bx2 and the x−axis is √A sq. units then the value of A∈N is
Answer» Consider the collection of all curves of the form $y = a - b x^{2}$ that pass through the point $(2, 1)$ where $a$ and $b$ are positive real numbers. If the minimum area of the region bounded by $y = a - b x^{2}$ and the $x -$ axis is $\sqrt{A}$ sq. units then the value of $A \in N$ is