JEE Main 2026 — Straight Lines Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
Let and be two diagonally opposite vertices of a rhombus, whose sides AD and BC are parallel to the line . If and are the other two vertices, then is equal to
Choose an option
Show full solutionCorrect option: A
Correct answer
A6
Step-by-step explanation
Midpoint of diagonal is . Slope of .
In a rhombus, diagonals are perpendicular bisectors. So has slope and passes through : .
has slope 7: .
lies on : .
Solving: , .
.
.
In a rhombus, diagonals are perpendicular bisectors. So has slope and passes through : .
has slope 7: .
lies on : .
Solving: , .
.
.
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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.