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JEE Main 2026 Mathematics question

MathematicsStraight LinesJEE Main 2026

In an equilateral triangle PQR, let the vertex P be at (3,5) and the side QR be along the line x+y=4. If the orthocentre of the triangle PQR is (α,β), then 9(α+β) is equal to:

Answer: (D)

Solution

For an equilateral triangle the orthocentre coincides with the centroid, located 2/3 of the way from P to the foot of the

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Question ID VK-015495