A circle with radius 1, centered on the y-axis, is inscribed in the parabola y = x^2. Where are the points of contact?
a) (0,1) and (0,-1)
b) (√2,2) and (-√2,2)
c) (1/2,1/4) and (-1/2,1/4)
d) (1,1) and (-1,1)