As shown above, the left and right focus of the ellipse: a2x2+b2y2=1(a>b>0) are F1(−c,0),F2(c,0).
If there exists point P such that sin∠PF1F2a=sin∠PF2F1c, find the range of the eccentricity of the ellipse.
The range can be expressed as (l,r). Submit ⌊1000(2r−l)⌋.
Have a look at my problem set: SAT 1000 problems