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MathsJEE Main 5 Apr 2026, Shift 1·Q11·MCQ·Easy–moderate

Straight Lines · Orthocentre of equilateral triangle

In an equilateral triangle PQRPQR, let the vertex PP be at (3,5)(3, 5) and the side QRQR be along the line x+y=4x + y = 4. If the orthocentre of the triangle PQRPQR is (α,β)(\alpha, \beta), then 9(α+β)9(\alpha + \beta) is equal to:
  1. (1)16
  2. (2)27
  3. (3)36
  4. (4)48

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