Find the area of the regions into which the circle `x^2+y^2=4` is divided by the line `x+sqrt3y=2`.

Find the equation of the tangents to the circle x^2+y^2-2x+4y=4 , parallel to the line 3x + 4y = 1

Find the area of the region enclosed by y^2=x,x=0,y=2

Find the equation of the tangents to the circle x^2+y^2=9 , perpendicular to the line x - y - 1 = 0.

Find the area of the region enclosed by x=1+y^2,X=0,y=3,y=6