Since 0<a<pi/4,
The equation of the largest possible ellipse should be :
x2/2 + y2/1 = 1
Where focii wil be less than (-√2,√2)
In option C, it is given -1,1 so the rest of the real numbers are not included.
Since OM = OS1, it is lesser than length of minor axis. (2 x 1), hence M lies inside ellipse.
If focii are in interval (-√2,√2) then latus rectum interval should also have a negative limit. Since the interval given is (0,1/√2) hence option D is also wrong.
Hence correct answer is A