The focus of the parabola is (1, 1) and the tangent at the vertex has the equation x + y = 1. Then :

(a) equation of the parabola is (x - y)² = 2 (x + y - 1)
(b) equation of the parabola is (x - y)² = 4 (x + y - 1)
(c) the co-ordinates of the vertex are (1/2, 1/2)
(d) length of the latus rectum is 2√2