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Mathematics · 2025

JEE Main · 2 April 2025, Shift 1 · Q4

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

If S and S' are the foci of the ellipse $\displaystyle \frac{x^2}{18}+\frac{y^2}{9}=1$ and P be a point on the ellipse, then $\displaystyle \min \left(\mathrm{SP} \cdot \mathrm{S}^{\prime} \mathrm{P}\right)+\max \left(\mathrm{SP} \cdot \mathrm{S}^{\prime} \mathrm{P}\right)$ is equal to :
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.