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JEE Main 2026 Mathematics question

MathematicsStraight LinesJEE Main 2026

Let the vertex A of a triangle ABC be (1, 2), and the mid-point of the side AB be (5, −1). If the centroid of this triangle is (3, 4) and its circumcenter is (α, β), then 21(α + β) is equal to:

Answer: (C)

Solution

B = 2(5,−1) − (1,2) = (9,−4). C = 3(3,4) − A − B = (−1, 14). Solving for the

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Question ID VK-015271