JEE Main 2026 — Straight Lines Question with Solution
JEE Main 2026 (21 January Shift 1)
Question
Let a point lie between the parallel lines and such that its distances from and are 6 and 3 units, respectively. Then the area (in sq. units) of the equilateral triangle , where the points and C lie on the lines and , respectively, is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let , .
Point A at , B at , C at .
, , .
From : .
From : .
Solving: .
Let : .
.
Area .
Point A at , B at , C at .
, , .
From : .
From : .
Solving: .
Let : .
.
Area .
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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.