JEE Main 2025 Mathematics question
If S and S′ are the foci of the ellipse and P be a point on the ellipse, then min.(SP·S′P) + max.(SP·S′P) is equal to :
Answer: (1)
Solution
a=3√2, b=3, e=1/√2. Max(SP·S'P)=18 (AM-GM), Min occurs at vertex = (3√2–3)(3√2+3)=9. Sum = 27.