Home
Class 11
MATHS
If a, b, c, are any three positive numbe...

If a, b, c, are any three positive numbers , then the least value of `(a+b+c)(1/a+1/a+1/a)` is

A

3

B

6

C

9

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos
  • STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK |25 Videos

Similar Questions

Explore conceptually related problems

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

If a, b and c are three positive real numbers, then show that a^3 + b^3 + c^3 > 3abc .

If a ,b ,c are distinct positive numbers, then the nature of roots of the equation 1/(x-a) + 1/(x-b) + 1/(x-c) = 1/x is a) all real and is distinct b) all real and at least two are distinct c) at least two real d) all non-real

If a , b , c are the sides of triangle , then the least value of (a)/(c+a-b)+(b)/(a+b-c)+(c )/(b+c-a) is

If a,b,c are positive real numbers and 2a+b+3c=1 , then the maximum value of a^(4)b^(2)c^(2) is equal to

If the roots of the cubic equation, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//(b+1)) is equal to?

If a, b and c are three positive real numbers, show that a^2 + b^2 + c^2 ge ab + bc + ca

If a,b,c are distinct positive real numbers and a^(2)+b^(2) +c^(2)=1 then the value of ab+bc+ca is-

If a,b,c be three such positive numbers (none of them is 1) that (log_(b)a log_(c )a-log_(a)a) + (log_(a)b log_(c )b-log_(b)b) + (log_(a)c log_(b)c-log_(c )c) = 0 , the prove that abc = 1.

If a , b ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3ac

PATHFINDER-STATISTICS AND MATHEMATICAL REASONING-QUESTION BANK
  1. Ram spends equal amounts on purchasing three kinds of pens being sold ...

    Text Solution

    |

  2. An automobile driver travels from plain to a hill station 120 km dista...

    Text Solution

    |

  3. If a, b, c, are any three positive numbers , then the least value of (...

    Text Solution

    |

  4. The median of the data 13, 14, 16, 18, 20, 22 is

    Text Solution

    |

  5. For a continuous series the mode is computed by the formula

    Text Solution

    |

  6. If mean = (3median - mode)x, then the value of x is

    Text Solution

    |

  7. The mean deviation from median is

    Text Solution

    |

  8. The mean deviation from the median is

    Text Solution

    |

  9. If each observation of a rew data, whose variance is sigma^2 is multip...

    Text Solution

    |

  10. The standard deviation of a variate x is sigma The standard deviation ...

    Text Solution

    |

  11. If mean of 4,7,x,8 is 5 , then the value of x is.

    Text Solution

    |

  12. The S.D of the first n natural numbers is

    Text Solution

    |

  13. The mean and variance of a random variable X having a binomial distrib...

    Text Solution

    |

  14. Which of the following is not a fallacy?

    Text Solution

    |

  15. Which of the following is a tautology? (p being any statement)

    Text Solution

    |

  16. Which of the following is true?

    Text Solution

    |

  17. Which of the following is different from the others?

    Text Solution

    |

  18. Which of the following is different from the others?

    Text Solution

    |

  19. In each of the statements pto~q~rtoq and p is true, then

    Text Solution

    |

  20. Additive identity of the Boolean algebra of logical statement is

    Text Solution

    |