JEE Advanced 2024 Paper 1 Mathematics Q15

Mathematics

Problem

Let the straight line y = 2x touch a circle with center (0, α), α > 0, and radius r at a point A₁. Let B₁ be the point on the circle such that the line segment A₁B₁ is a diameter of the circle. Let α + r = 5 + √5. Match each entry in List-I to the correct entry in List-II. List-I: (P) α equals, (Q) r equals, (R) A₁ equals, (S) B₁ equals. List-II: (1) (−2, 4), (2) √5, (3) (−2, 6), (4) 5, (5) (2, 4). The correct option is

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