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

Coordinate Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 28 Jan, Morning shift · Q9

JEE Main 202628 Jan, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

Let ABC be an equilateral triangle with orthocenter at the origin and the side BC on the line

x+2\sqrt2y=4

. If the co-ordinates of the vertex A are

(\alpha,\beta)

, then the greatest integer less than or equal to

|\alpha+\sqrt2\beta|

JEE Main 2026 · 28 Jan, Morning shift · Q9

JEE Main 202628 Jan, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

Let ABC be an equilateral triangle with orthocenter at the origin and the side BC on the line

x+2\sqrt2y=4

. If the co-ordinates of the vertex A are

(\alpha,\beta)

, then the greatest integer less than or equal to

|\alpha+\sqrt2\beta|