JEE Main 2012 — Application of Derivatives Question with Solution
JEE Main 2012 (26 May Online)
Question
If a metallic circular plate of radius is heated so that its radius increases at the rate of per hour, then the rate at which, the area of the plate increases (in hour) is
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let be area of metalic circular plate of .
Also, given
Hence, area of plate increases in hour.
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 2012, 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.