If the least value of the area bounded by the line `y=mx+1` and the parabola `y=x^(2)+2x-3` is `alpha` where m is a parameter then the value of `(6 alpha)/(32)`

Find the area bounded by the parabola y=x^(2) and the line y-2x=2 .

What is the area of the parabola x^(2)=y bounded by the line y=1?

The area bounded by the parabola x^(2)=2y and the line y=3x is

The area of the region bounded by the parabola y^(2)=4ax and the line y=mx is

If 'a'(a>0) is the value of parameter for each of which the area of the figure bounded by the straight line y=(a^(2)-ax)/(1+a^(4)) and the parabola y=(x^(2)+2ax+3a^(2))/(1+a^(4)) is the greatest,then the value of a^(4) is _(-)

Find the area bounded by the parabola y=x^(2)+1 and the straight line x+y=3

What is the area of the parabola x^(2) = y bounded by the lines y = 1 ?

The area of the region bounded by the parabola y ^(2) =9x and the line y = 3x is :

Find the area bounded by the parabola y^2=4x and the straight line x+y=3 .