Problem

The axis of a parabola is along the line

y = x

and the distance of its vertex from origin is

\sqrt{2}

and that from its focus is

2\sqrt{2}

. If vertex and focus both lie in the first quadrant, the equation of the parabola is a.

(x + y)^2 = (x - y - 2)

(x - y)^2 = (x + y + 2)

(x - y)^2 = 4(x + y - 2)

(x - y)^2 = 8(x + y - 2)