If S and S' are the foci of the ellipse (x²)/18 + (y²)/9 = 1 and P is a point on the ellipse, then min (SP· S'P) + max (SP· S'P) is equal to:

Coordinate Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q41

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumCoordinate Geometry478× since 2002

S

and

S'

are the foci of the ellipse

\frac{x^2}{18} + \frac{y^2}{9} = 1

and

P

is a point on the ellipse, then

\min\bigl(SP\cdot S'P\bigr) + \max\bigl(SP\cdot S'P\bigr)

is equal to:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q41

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumCoordinate Geometry478× since 2002

S

and

S'

are the foci of the ellipse

\frac{x^2}{18} + \frac{y^2}{9} = 1

and

P

is a point on the ellipse, then

\min\bigl(SP\cdot S'P\bigr) + \max\bigl(SP\cdot S'P\bigr)

is equal to: