Home
Class 11
MATHS
If the product of n positive number is u...

If the product of n positive number is unity, then their sum is

A

a positive integer

B

divisible by n

C

equal to n+1/m

D

never less than n

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

If the product of n positive numbers is n^n , then their sum is (a) a positive integer (b). divisible by n (c)equal to n+1//n (d)never less than n^2

If the product of n positive numbers is n^n . Then their sum is

Answer the following questions in short: Find the maximum value of the product of two positive numbers when their sum is 24.

Product of n positive number is unity. The sum of these numbers can not be less than

if the product of two positive quantities be given, their sum is least , when they are equal.

The product of two positive numbers is 147, The greater number is 3 times the smaller number. Let's find the numbers.

The product of two positive numbers is 1575 and their quotient is 9/7, let's find the numbers.

Find the maximum value of the product of the two numbers , if their sum is 12.

The product of two positive whole numbers is 98 and the greater number is twice the smaller number. Lets find the two numbers.

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. If a,b,c in AP and x=sum(n=0)^inftya^n,y=sum(n-0)^inftyb^n,z=sum(n-0)^...

    Text Solution

    |

  2. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

    Text Solution

    |

  3. If the product of n positive number is unity, then their sum is

    Text Solution

    |

  4. If x1gt0,i=1,2.....50 and x1+x2+.....x50=50 then the minimum value of ...

    Text Solution

    |

  5. If a,b,c,d are positive real number such that a+b+c+d=2 , then M=(a+b)...

    Text Solution

    |

  6. If a1,a2,.....an are positive real number whose product is a fixed num...

    Text Solution

    |

  7. The greatest value x^2y^3 is, where xgt0 and ygt0 are connected by the...

    Text Solution

    |

  8. Let S=8/5+16/65+......128/(2^18+1) then

    Text Solution

    |

  9. The sum of the infinite terms of the series 5/(3^2. 7^2)+9/(7^2. 11^2)...

    Text Solution

    |

  10. The sum to infinity of the series 1+2/3+6/3^2+10/3^3+14/3^4+....

    Text Solution

    |

  11. The sum to n terms of the series 1+2(1+1/n)+3(1+1/n)^2+....... is give...

    Text Solution

    |

  12. For absx lt1 the value of 1+3x+6x^2+10x^3+.....t o infty is

    Text Solution

    |

  13. If pth, qth, and rth term of an AP are equal to corresponding terms of...

    Text Solution

    |

  14. If a,b,c are positive real number, then the least value of (a+b+c)(1/a...

    Text Solution

    |

  15. An infinite GP has first term x and sum 5, then x belongs to

    Text Solution

    |

  16. 2^(1/4),2^(2/8),2^(3/16),2^(4/32)......infty is equal to

    Text Solution

    |

  17. Let alpha , beta be the roots of x^2-x+p=0 and gamma,delta be the root...

    Text Solution

    |

  18. If f(x) is a function satisfying f(x+y)=f(x)f(y) for all x,yin N such ...

    Text Solution

    |

  19. Sum of n terms of the series 8+88+888+....equals

    Text Solution

    |

  20. The sum of the first n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6...

    Text Solution

    |