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If S and S ′ are the foci of the ellipse 18 x 2 + 9 y 2 = 1 and P be a point on the ellipse, then min.(SP·S ′ P) + max.(SP·S ′ P) is equal to :

1. 27
2. 3 (1 + 2 )
3. 3(6 + 2 )
4. 9

Correct answer: 27

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