Home
Class 11
MATHS
The AM of teo given positive numbers is ...

The AM of teo given positive numbers is 2. If the larger number is increased by 1, the GM of the numbers becomes equal to the AM to the given numbers. Then, the HM of the given numbers is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

The A.M. of two given positive numbers is 2. If the larger number is increased by 1, the G.M. of the numbers becomes equal to the A.M. of the given numbers. Then find the H.M.

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

Identify the correct number line from the given number lines :

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

Prove that if a number is doubled, then its cube is eight times the cube of the given number.

The A.M of two numbers is 17 and their G.M. is 8. Find the numbers.

The sum of digits of a two digit number is 15. The number obtained by reversing the order of digits of the given number exceeds the given number by 9. Find the given number.

The AM of n numbers of a series is bar(X). If the sum of first (n-1) terms is k, then the n^(th) number is

The sum of the squares of two positive integers is 208. If the square of the larger number is 18 times the smaller number, find the numbers.

A natural number, when increased by 12, becomes equal to 160 times its reciprocal. Find the number.

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. In a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  2. If the A.M. between two numbers exceeds their G.M. by 2 and the GM. ...

    Text Solution

    |

  3. The AM of teo given positive numbers is 2. If the larger number is inc...

    Text Solution

    |

  4. Find the sum of the series 1+3x+5x^2+7x^3+..........upto n terms.

    Text Solution

    |

  5. If (a-x)/(p x)=(a-y)/(q y)=(a-z)/ra n dp ,q ,a n dr are in A.P., then...

    Text Solution

    |

  6. Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......

    Text Solution

    |

  7. Find the sum (1^2)/2-(3^2)/(2^2)+(5^2)/(2^3)-(7^2)/(2^4)+....oodot

    Text Solution

    |

  8. If H is the harmonic mean between Pa n dQ then find the value of H//P+...

    Text Solution

    |

  9. If Tr=r(r^2-1), then find sum(r=2)^oo1/Tdot

    Text Solution

    |

  10. Insert four H.M.’s between 2/3 and 2/13.

    Text Solution

    |

  11. If a , b ,a n dc are respectively, the pth, qth , and rth terms of a G...

    Text Solution

    |

  12. The A.M. and H.M. between two numbers are 27 and 122, respectively, ...

    Text Solution

    |

  13. If a ,a1, a2, a3, a(2n),b are in A.P. and a ,g1,g2,g3, ,g(2n),b . are...

    Text Solution

    |

  14. If nine arithmetic means and nine harmonic means are inserted between ...

    Text Solution

    |

  15. If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove tha...

    Text Solution

    |

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

    Text Solution

    |

  17. If a ,b ,c ,da n dp are distinct real numbers such that (a^2+b^2+c^2)p...

    Text Solution

    |

  18. If A.M. and G.M. between two numbers is in the ratio m : n then prove...

    Text Solution

    |

  19. Prove that (666....6)^2+(888....8)=4444.....4.

    Text Solution

    |

  20. If a is the A.M. of b and c and the two geometric mean are G1 and ...

    Text Solution

    |