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Ellipse · 2025 · 3 Apr · Shift 1

1 Mathematics questions from this JEE Main paper

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2025 · 3 Apr · Shift 1
Mathematics
Ellipse

Ellipse · 2025 · 3 Apr · Shift 1

1 Mathematics questions from this JEE Main paper

Q37.A line passing through the point $P (5, 5)$ intersects the ellipse $\frac{x ^{2}}{36} + \frac{y ^{2}}{25} = 1$ at $A$ and $B$ such that $(P A) \cdot (P B)$ is maximum. Then $5 (P A^{2} + P B^{2})$ is equal to :
Mathematics · Ellipse · MCQ