The area between the parabola `y^2 = 4x` , normal at one end of latusrectum and X-axis in sq.units is

The area bounded by the parabola y^(2)=8x, the x-axis and the latusrectum, is

The area bounded by the parabola y^(2) = 32x the X-axis and the latus rectum is …….. sq. units

The area bounded by the parabola y = 4x - x^(2) and X-axis is

Tangents are drawn to the parabola y^2=4x at the point P which is the upper end of latusrectum . Radius of the circle touching the parabola y^2=4x at the point P and passing through its focus is

The area enclosed between the parabola y^(2) = 20x and the line y = 2x is ….. sq. units.

Area bounded by the parabola x^(2)=4y and its latusrectum is

If the area enclosed between the parabola y^(2)=4x and the line y = mx is (1/3) sq. unit, then : m =