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MathsJEE Main 28 Jan 2026, Shift 1·Q6·MCQ·Moderate

Straight Lines · Orthocentre of equilateral triangle

Let ABCABC be an equilateral triangle with orthocenter at the origin and the side BCBC on the line x+22 y=4x + 2\sqrt2\,y = 4. If the co-ordinates of the vertex AA are (α,β)(\alpha, \beta), then the greatest integer less than or equal to ∣α+2 β∣\lvert\alpha + \sqrt2\,\beta\rvert is
  1. (1)2
  2. (2)3
  3. (3)5
  4. (4)4

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