JEE Main 2026 — Straight Lines Question with Solution
JEE Main 2026 (23 January Shift 1)
Question
A rectangle is formed by the lines and . Let the line L be perpendicular to and divide the area of the rectangle into two equal parts. Then the distance of the point from the line is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Rectangle: , area . Center .
Slope of is , so slope of .
A line through the center of a rectangle bisects its area. So passes through with slope :
.
Distance from :
.
Slope of is , so slope of .
A line through the center of a rectangle bisects its area. So passes through with slope :
.
Distance from :
.
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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.