The equation of the circle of radius sqrt(2) whose
centre lies on the line x – y = 0 and which
touches the line x + y = 4 and whose centre's
coordinates satisfy the inequality x + y > 4 is -
(A) x2
+ y2
– 8x – 8y + 24 = 0
(B) x2
+ y2
= 8
(C) x2
+ y2
– 8x + 8y = 24
(D) none of these