Question

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) and T2 be a tangent to P₂ which passes through (f₁, 0). The m₁ is the slope of T₁ and m₂ is the slope of T₂, then the value of ((1/m²)+m²₂) is

Answer 1

Answer:

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