JEE Main 2012 — Application of Derivatives Question with Solution
JEE Main 2012 (12 May Online)
Question
Consider a rectangle whose length is increasing at the uniform rate of , breadth is decreasing at the uniform rate of and the area is decreasing at the uniform rate of . If after some time the breadth of the rectangle is then the length of the rectangle is
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let be the area, be the breadth and be the length of the rectangle.
Given:
We know,
When , we have
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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.