JEE Main 2021 — Application of Derivatives Question with Solution
JEE Main 2021 (27 Aug Shift 1)
Question
A wire of length is to be cut into two pieces. One of the pieces is to be made into a square and the other into a regular hexagon. Then the length of the side (in meters) of the hexagon, so that the combined area of the square and the hexagon is minimum, is
Choose an option
Show full solutionCorrect option: C
Step-by-step explanation
Let the wire is cut into 2 pieces of length
Therefore side of square will be and hexagon will be
Area of square
Area of hexagon
Total area
On differentiating,
Length of side of regular hexagon
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Application of Derivatives chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2021, covering the Application of Derivatives 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.