If S and S' are the foci of the ellipse x²/18 + y²/9 = 1 and P be… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 2 April, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

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

A
$3(1 + \sqrt{2})$
B
$3(6 + \sqrt{2})$
C
$9$
D
$27$

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