Suppose that the foci of the ellipse `x^2/9+y^2/5=1` are `(f_1,0) and (f_2,0)` where `f_1 > 0 and f_2 < 0.` Let `P_1 and P_2` be two parabola with a common vectex as `(0,0)` and with foci at `(f_1,0) and (2f_2,0).` respectively . Let `T_1` be a tangent to `P_1` which passes through `(2f_2,0) and T_2` be a tangent to `P_2` which passes through `(f_2,0).` If `m_1` is the slope of `T_1 and m_2` is the slope of `T_2` then the value of `(1/m_1^2+m_2^2)` is