Let ABC be an equilateral triangle with orthocenter at the origin… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 28 January, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Let $ABC$ be an equilateral triangle with orthocenter at the origin and the side $BC$ lying on the line $x+2\sqrt{2}\,y=4$ . If the coordinates of the vertex $A$ are $(\alpha,\beta)$ , then the greatest integer less than or equal to $|\alpha+\sqrt{2}\beta|$ is:

A
$2$
B
$4$
C
$5$
D
$3$

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Conic Sections (Parabola, Ellipse, Hyperbola)

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Related questions