Mathematics

Mathematics

Problem

If SS and S′S' are the foci of the ellipse x218+y29=1\frac{x^2}{18} + \frac{y^2}{9} = 1 and PP be a point on the ellipse, then min⁡(SP⋅S′P)+max⁡(SP⋅S′P)\min (SP \cdot S'P) + \max (SP \cdot S'P) is equal to :

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