Parabola

Suppose that the foci of the ellipse

x2

9

+

y2

5

=1 are (f1,0) and (f2,0) where f1>0 and f2<0,Let P1 and P2 be two parabolas with a common vertex at (0,0) and with foci at (f1,0) and (2f2,0),respectively,Let T1 be a tangent to P1 which passes through (2f2,0) andT2 be a tangent P2 which passes through (f1,0).Then m1 is the slope of T1 and m2 is the slope of T2,then the value of (

1

m2

+m22) is