Let ABC be an equilateral triangle with orthocenter at the origin and the side BC on the line x+2 \sqrt{2} y=4. If the co-ordinates of the vertex A are (\alpha, \beta), then the greatest integer less than or equal to |\alpha+\sqrt{2} \beta| is [28 Jan 2026 Shift 1]

Straight Lines and Pair of Straight Lines Part 2

Section: Mathematics

Question : 1 of 72

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Let ABC be an equilateral triangle with orthocenter at the origin and the side BC on the line x+2√2y=4. If the co-ordinates of the vertex A are (α,β), then the greatest integer less than or equal to |α+√2β| is

[28 Jan 2026 Shift 1]

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