Home
Class 12
MATHS
Three positive numbers form an increasin...

Three positive numbers form an increasing GP. If the middle term in this GP is doubled, then new numbers are in AP. Then, the common ratio of the GP is

A

`3+sqrt 2`

B

`2-sqrt 3`

C

`2+sqrt 3`

D

`sqrt 2+sqrt 3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

Three positive numbers form an increasing GP. If the middle terms in this GP is doubled, the new numbers are in AP. Then, the common ratio of the GP is

Three terms forms an increasing G.P with ratio r . If the second term of the given G.P is double then the new series are in A.P with common difference d also the 4th terms of G.P is 3r^2 then the value of (r^2-d) is

If the pth ,qth and rth terms of an AP are in G.P then the common ration of the GP is

Three numbers are in G.P.If we double the middle term,we get an A.P.Then find the common ratio of the G.P.

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. If S= tan^-1 (1/(n^2+n+1))+tan^-1 (1/(n^2+3n+3))+…+tan^-1 (1/(1+(n+19)...

    Text Solution

    |

  2. If a1,a2,a3,. . . ,an. . . are in A.P. such that a4−a7+a10=m, then sum...

    Text Solution

    |

  3. Three positive numbers form an increasing GP. If the middle term in th...

    Text Solution

    |

  4. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

    Text Solution

    |

  5. Given an A.P. whose terms are all positive integers. The sum of its fi...

    Text Solution

    |

  6. If the sum 3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+. . . + upto 20 terms is ...

    Text Solution

    |

  7. In a geometric progression, if the ratio of the sum of first 5 terms t...

    Text Solution

    |

  8. The sum of the first 20 terms common between the series 3 +7+11+15+.....

    Text Solution

    |

  9. Let G be the geometric mean of two positive numbers a and b, and M be ...

    Text Solution

    |

  10. The least positive integer n such that 1-2/3-2/3^2-............-2/3^(n...

    Text Solution

    |

  11. Number of terms of an AP is even. The sum of odd terms is 24 an that o...

    Text Solution

    |

  12. where f (n) = [(1)/(3) + (3n)/(100)] n, where [ n] denotes the greate...

    Text Solution

    |

  13. If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">...

    Text Solution

    |

  14. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  15. The value of sum(r = 16)^(30)(r + 2)(r - 3) is equal to :

    Text Solution

    |

  16. The sum of the 3rd and the 4th terms of a G.P. is 60 and the product o...

    Text Solution

    |

  17. If sum(n=1)^5 1/(n(n+1)(n+2)(n+3))=k/3, then k is equal to :-

    Text Solution

    |

  18. If the 2^(nd), 56^(th) and 9^(th) terms of a non-constant A. P. are in...

    Text Solution

    |

  19. If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3...

    Text Solution

    |

  20. Let a1, a2, a3, ....an,.........be in A.P. If a3 + a7 + a11 + a15 = 7...

    Text Solution

    |