Home
Class 11
MATHS
If a is the arithmetic mean and g is the...

If a is the arithmetic mean and g is the geometric mean of two numbers, then

A

`a le g`

B

`a ge g`

C

`a=g`

D

`a gt g`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    FULL MARKS|Exercise Additional Questions Solved|31 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    FULL MARKS|Exercise EXERCISE 5.4|10 Videos

  • BASIC ALGEBRA

    FULL MARKS|Exercise Exercise-2.13|20 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS|33 Videos

Similar Questions

Explore conceptually related problems

Statement 1: If the arithmetic mean of two numbers is 5/2 geometric mean of the numbers is 2, then the harmonic mean will be 8/5. Statement 2: For a group of positive numbers (GdotMdot)^2=(AdotMdot)(HdotMdot)dot

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation

Let a be a positive number such that the arithmetic mean of a and 2 exceeds their geometric mean by 1. Then the value of a

The harmonic mean of two numbers is 4. Their arithmetic mean A and the geometric mean G satisfy the relation 2A+G^2=27. Find two numbers.

Let x be the arithmetic mean and y ,z be the two geometric means between any two positive numbers, then (y^3+z^3)/(x y z)=dot (1997C, 2M)

Let the harmonic mean and geometric mean of two positive numbers be in the ratio 4:5. Then the two numbers are in ratio............ (1992, 2M)

The quardritic equation in x such that the arithmetic mean of its roots is 5 and geometric mean of the roots is 4, is given by

Find two numbers whose arithmetic mean is 34 and the geometric mean is 16.

If H_(1) , H_(2) are two harmonic means between two positive numbers a and b , (a != b) , A and G are the arithmetic and geometric means between a and b , then (H_(2) + H_(1))/(H_(2) H_(1)) is

FULL MARKS-BINOMIAL THEOREM, SEQUENCES AND SERIES -EXERCISE 5.5
  1. The value of 2 + 4 + 6 + ….+ 2n is

    Text Solution

    |

  2. The coefficient of x^(6) in (2+2x)^(10) is ……………..

    Text Solution

    |

  3. The coefficient of x^(8)y^(12) in the expansion of (2x+3y)^(20) is

    Text Solution

    |

  4. If ""^(n)C(10)gt""^(n)C(r) for all possible r, then a value of n is

    Text Solution

    |

  5. If a is the arithmetic mean and g is the geometric mean of two numbers...

    Text Solution

    |

  6. If (1+x^(2))^(2)(1+x)^(n)=a(0)+a(1)x+a(2)x^(2)+…..+x^(n+4) and if a(0)...

    Text Solution

    |

  7. If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then...

    Text Solution

    |

  8. The sequence (1)/(sqrt(3)),(1)/(sqrt(3)+sqrt(2)),(1)/(sqrt(3)+2sqrt(2)...

    Text Solution

    |

  9. The HM of two positive numbers whose AM and GM are 16, 8 respectively ...

    Text Solution

    |

  10. If S(n) denotes the sum of n terms of an AP whose common difference is...

    Text Solution

    |

  11. The remainder when 38^(15) is divided by 13 is

    Text Solution

    |

  12. The n^(th) term of the sequence 1, 2, 4, 7, 11, … is

    Text Solution

    |

  13. The sum up to n terms of the series (1)/(sqrt(1)+sqrt(3))+(1)/(sqrt(3)...

    Text Solution

    |

  14. The n^(th) term of the sequence 1/2,3/4,7/8,15/16,... is

    Text Solution

    |

  15. The sum upto n terms of the series sqrt(3) + sqrt(12) + sqrt(27) + sqr...

    Text Solution

    |

  16. The value of the series 1/2+7/4+13/8+19/16+... is

    Text Solution

    |

  17. The sum of an infinite GP is 18. If the first term is 6, the common ra...

    Text Solution

    |

  18. The coefficient of x^(5) in the series e^(-2x) is

    Text Solution

    |

  19. The value of 1/(2!)+1/(4!)+1/(6!)+... is

    Text Solution

    |

  20. The value of 1-1/2(2/3)+1/3(2/3)^(2)-1/4(2/3)^(3)+... is

    Text Solution

    |