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Ellipse question

2025 · 2 Apr · Shift 1 · Q30

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PYQ Library
JEE Main
Mathematics
Ellipse
2025 · 2 Apr · Shift 1 · Q30

Ellipse question

2025 · 2 Apr · Shift 1 · Q30

JEE MainMathematicsEllipseMCQ+4 / −1

If

S

and

S^{\prime}

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 \left(S P \cdot S^{\prime} P\right)+\max \left(S P \cdot S^{\prime} P\right)

is equal to :

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

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