Home
Class 11
MATHS
If a, b, c one positive numbers satisfyi...

If a, b, c one positive numbers satisfying 4ab + 6bc + 8ca = 9 find the greatest value of (abc).

Promotional Banner

Topper's Solved these Questions

  • HARE SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|34 Videos

  • HINDU SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|15 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are positive number satisfying 4ab + 6bc + 8ca = 9, then find the greatest value of (abc).

If a be a positive number and root(3)(a) : 4/27 = 8/9 : sqrta , then find the value of a .

a, b, c are positive proper fractions satisfying a + b + c = 1. Show that 8abc le (1 - a) (1 - b) (1 - c) .

If a, b, c are positive, prove that (a + b + c) (ab + bc + ca) ge 9abc.

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 are all positive, prove that 6abc le bc(b + c) + ca(c + a) + ab(a + b)

If three positive real number a,b,c are in AP with abc =4 , then the minimum value of b is

If a + b + c = 8 and ab + bc + ca = 11 , then find the value of a^(3)+b^(3)+c^(3)-3abc

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

For three distinct positive numbers a, b, c with a + b + c = 1, show that 8abc le (2/3)^3 .

UNITED BOOK HOUSE-Hare School, Question Paper -Exercise
  1. If a, b, c be three unequal sides of a triangle show that frac(1)(b+c-...

    Text Solution

    |

  2. If n be a positive integer greater than 1, prove that (frac(n+1)(2))^n...

    Text Solution

    |

  3. If a, b, c one positive numbers satisfying 4ab + 6bc + 8ca = 9 find th...

    Text Solution

    |

  4. Distinguish between attribute and variable.

    Text Solution

    |

  5. Find the arithmetic mean and median for first n natural numbers.

    Text Solution

    |

  6. Find the AM of 5, 55, 555,…………….upto n times.

    Text Solution

    |

  7. If P(A) = 1/2, P(B) = 2/3 then prove that 1/6 le P(A nn B) le 1/2

    Text Solution

    |

  8. If 9 biscuits of different types be distributed among 3 children, find...

    Text Solution

    |

  9. Show that overset(n)underset(i=1)sum (xi - A)^2 is minimum when A = ba...

    Text Solution

    |

  10. If y = (x-a)/b, then prove that Sy = frac(Sx)(|b|)

    Text Solution

    |

  11. Prove that P(A uu B) = P(A) + P(B) - P(A nn B)

    Text Solution

    |

  12. The variance of 1, 2,…………..n is 24. Find n.

    Text Solution

    |

  13. For 10 values of X, it is given that sumu = 4 and sum u^2 = 144, where...

    Text Solution

    |

  14. Two groups of 15 and 22 values have variances 9 and 16 respectively. I...

    Text Solution

    |

  15. For a set of an positive quantities prove that AM ge GM ge HM.

    Text Solution

    |

  16. Prove that 1/n overset(n)underset(E1)sum |xi - A| attains, minimum whe...

    Text Solution

    |

  17. Let x be a variable assuming the values 1, 2,……….k and let F1 = n, F2,...

    Text Solution

    |

  18. |x-2| le 6 implies that

    Text Solution

    |

  19. When it comes to comparing different segments among themselves and als...

    Text Solution

    |

  20. Mode of a distribution can be obtained from

    Text Solution

    |