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JEE Main 2026 Mathematics question

MathematicsParabolaJEE Main 2026

Let the point P be the vertex of the parabola y=x²−6x+12. If a line passing through the point P intersects the circle x²+y²−2x−4y+3=0 at the points R and S, then the maximum value of (PR+PS)² is:

Answer: (B)

Solution

P=(3,3), circle centre (1,2), radius √2, P is external (distance √5). PR+PS is

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Question ID VK-015420