Home
Class 11
MATHS
Let the harmonic mean and geometric mean...

Let the harmonic mean and geometric mean of two positive numbers be in the ratio 4:5. Then the two numbers are in ratio

A

`1:1`

B

`2:1`

C

`3:1`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|129 Videos
  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If HM:GM=4:5 for two positive numbers, then the ratio of two numbers is -

If the Arithmetic mean and Geometrical mean of three numbers are equal to x, then the each number is equal to

The LCM of two numbers is 224 and the numbers are in the ratio 4:7. Find the numbers.

Two numbers are in the ratio 4:7 and their LCM is 84. Find the two numbers.

The tw geometric means between the numbers 1 and 64 are

If two numbers are in the ratio 3:5 and their LCM is 120, find the numbers.

The arithmetic mean between two numbers is A and the geometric mean is G. Then these numbers are:

Two numbers are in the ratio 4:5 and their sum is 189. Find the numbers.

If the ratio of AM to GM of two positive numbers a and b is 5:3, then a:b is

The Harmonic mean of the numbers 2,3,4 is

OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Chapter Test
  1. The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, ...

    Text Solution

    |

  2. The sum of the integers from 1 to 100 which are not divisible by 3 or ...

    Text Solution

    |

  3. Let the harmonic mean and geometric mean of two positive numbers be in...

    Text Solution

    |

  4. The sum of the series 1 + 2.2+ 3.2^(2) + 4.2^(3) + 5.2^(4) + ….. +...

    Text Solution

    |

  5. If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b) are in A.P. prove that a ,\ ...

    Text Solution

    |

  6. If the m^(th),n^(th)andp^(th) terms of an A.P. and G.P. be equal and b...

    Text Solution

    |

  7. The 7th term of a H.P. is (1)/(10) and 12 th term is (1)/(25), find th...

    Text Solution

    |

  8. The length of side of a square is 'a' metre. A second square is formed...

    Text Solution

    |

  9. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

    Text Solution

    |

  10. If three positive real numbers a,b,c, (cgta) are in H.P., then log(a+c...

    Text Solution

    |

  11. In an A.P., the p^(th) term is 1/q and the q^(th) term is 1/p. fin...

    Text Solution

    |

  12. The sum of the series 2/3+8/9+(26)/(27)+(80)/(81)+ to n terms is (a) n...

    Text Solution

    |

  13. If a,b,c are in H.P. , then

    Text Solution

    |

  14. The odd value of n for which 704+1/2(704)+… upto n terms = 1984-1/2(1...

    Text Solution

    |

  15. The positive interger n for which 2xx2^2+3xx 2^3+4xx2^4+….+nxx2^4=2^(n...

    Text Solution

    |

  16. If 1^2+2^2+3^2++2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2...

    Text Solution

    |

  17. The sum to n terms of the series (n^(2)-1^(2))+2(n^(2)-2^(2))+3(n^(2...

    Text Solution

    |

  18. The sum of the series a-(a+d)+(a+2d)-(a+3d)+... up to (2n+1) terms is:...

    Text Solution

    |

  19. If Hn=1+1/2+...+1/ndot , then the value of Sn=1+3/2+5/3+...+(99)/(50) ...

    Text Solution

    |

  20. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

    Text Solution

    |