Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:
Suppose the length x of a rectangle increase and width y decrease with the same speed simultaneously. Then with what speed with respect to time does the area of the rectangle change?
Options:
The rate of change in area is 0 cm2/min for any values of x and y.
The rate of change in area is 0 cm2/min for x= 10 cm and y = 10 cm only.
The rate of change in area is 0 cm2/min for x= 100 cm and y = 100 cm only.
None of the above
Correct Answer:
None of the above
Explanation:
The rate of change in area is 0 cm2/min for all values of x and y provided x=y