JEE Main 2012MathematicsApplication of DerivativesMediumMCQ

JEE Main 2012Application of Derivatives Question with Solution

JEE Main 2012 (07 May Online)

Question

If a circular iron sheet of radius is heated such that its area increases at the uniform rate of , then the rate (in ) at which the radius of the circular sheet increases is

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

Let . Thus, the rate at which the radius of the circular sheet increases is

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.