JEE Main 2026 — Straight Lines Question with Solution
JEE Main 2026 (28 January Shift 1)
Question
Let ABC be an equilateral triangle with orthocenter at the origin and the side BC on the line . If the co-ordinates of the vertex A are , then the greatest integer less than or equal to is
Choose an option
Show full solutionCorrect option: D
Correct answer
D4
Step-by-step explanation
Let ABC be an equilateral triangle with orthocenter at the origin O(0,0) and side BC on the line .
Since :
...(1)
Distance from O to BC:
For equilateral triangle: , so
or
Since and lie on the same side of BC (origin gives ), we need .
Since :
...(1)
Distance from O to BC:
For equilateral triangle: , so
or
Since and lie on the same side of BC (origin gives ), we need .
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This is a previous-year question from JEE Main 2026, covering the Straight Lines chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.