Let the tangents at the points P and Q on the ellipse (x²)/2+(y²)/4=1 meet at the point R(√(2), 2 √(2)-2). If S is the focus of the ellipse on its negative major axis, then SP²+SQ² is equal to _ _ _ _ _ _.

Coordinate Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jul, Evening shift · Q33

JEE Main 202228 Jul, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

Let the tangents at the points

\mathrm{P}

and

\mathrm{Q}

on the ellipse

\frac{x^{2}}{2}+\frac{y^{2}}{4}=1

meet at the point

R(\sqrt{2}, 2 \sqrt{2}-2)

. If

\mathrm{S}

is the focus of the ellipse on its negative major axis, then

\mathrm{SP}^{2}+\mathrm{SQ}^{2}

is equal to ___________.

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