Applications Of Derivatives Question 332

Question: 36 factorize into two factors in such a way that sum of factors is minimum, then the factors are

[MP PET 1987]

Options:

A) 2, 18

B) 9, 4

C) 3, 12

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

Let the two factor of 36 are x and $ \frac{36}{x} $ .

Now solve $ x+\frac{36}{x} $ to be minimum. The factor will be 6,6.