Home
Class 12
MATHS
Find two positive numbers whose sum is 1...

Find two positive numbers whose sum is 15 and the sum of whose squares is minimum.

Text Solution

Verified by Experts

The correct Answer is:
`(15)/(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)|29 Videos
  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (SHORT ANSWER TYPE QUESTIONS - I )|1 Videos
  • APPLICATION OF INTEGRALS

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions - II|25 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos

Similar Questions

Explore conceptually related problems

Find two positive number whose sum is 15 and the sum of whose squares is minimum.

Find two positive number whose sum is 15 and the sum of whose squares is minium.

Knowledge Check

  • The sum of two positive numbers is p. If the sum of their square is minimum then the numbers are

    A
    (3p)/4,p/4
    B
    (2p)/3,p/3
    C
    p/2,p/2
    D
    p,0
  • Similar Questions

    Explore conceptually related problems

    Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.

    Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.

    Find the two positive numbers whose sum is 15 and sum of whose squares minimum.

    Find two numbers whose sum is 27 and product is 182.

    Find two numbers whose sum is 27 and product is 182.

    Find two numbers whose A.M. is 5 and G.M. is 4.

    The sum of two positive numbers is given . If the sum of their cubes is minimum , then