The mirror image of the parabola `y^2= 4x` in the tangent to the parabola at the point (1, 2) is:

The area of the region bounded by the parabola (y-2)^(2) = x- 1 , the tangent to the parabola at the point (2,3) and the x-axis is

the image of the parabola y^(2)=x in the line x+y+4=0 is

Let the curve C be the mirror image of the parabola y^(2)=4x with respect to the line x+y+4=0. If A and B are the points of intersection of C with the line y=-5, then the distance between A and B is