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

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

A

`sqrt2+sqrt3`

B

`3+sqrt2`

C

`2-sqrt3`

D

`2+sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise LEVEL-2|34 Videos
  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos
  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

Similar Questions

Explore conceptually related problems

Three numbers form an increasing G.P. If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P. is (A) 2-sqrt(3) (B) 2+sqrt(3) (C) sqrt(3)-2 (D) 3+sqrt(2)

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.

if x , 2y and 3z are in AP where the distinct numbers x, yand z are in gp. Then the common ratio of the GP is

if x , 2y and 3z are in AP where the distinct numbers x, yand z are in gp. Then the common ratio of the GP is

If x,2y,3z are in A.P where the distinct numbers x,y,z are in G.P then the common ratio of G.P is

If the 2nd , 5th and 9th terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is :

In a G.P. of positive terms if any terms is equal to the sum of next tow terms, find the common ratio of the G.P.

In a G.P of positive terms if any term is equal to the sum of the next two terms, then the common ratio of the G.P is

In a G.P. of positive terms if any terms is equal to the sum of next tow terms, find the common ratio of the G.P.

VMC MODULES ENGLISH-SEQUENCE AND SERIES -JEE MAIN & Advance ( ARCHIVE)
  1. Let a, b, c be in an AP and a^2, b^2, c^2 be in GP. If a < b < c and a...

    Text Solution

    |

  2. Let alphaa n dbeta be the roots of x^2-x+p=0a n dgammaa n ddelta be th...

    Text Solution

    |

  3. Three positive numbers form an increasing GP. If the middle terms in t...

    Text Solution

    |

  4. If (10)^9+2(11)^2(10)^7 +….+10 (11)^9 = k(10)^9

    Text Solution

    |

  5. The sum of first 20 terms of the sequence 0.7 ,0.77 , 0.777 …., is

    Text Solution

    |

  6. An infinite G.P. has first term as a and sum 5, then a belongs to a) |...

    Text Solution

    |

  7. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

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

    Text Solution

    |

  9. Let S(1),S(2),"…." be squares such that for each n ge 1, the length o...

    Text Solution

    |

  10. Let a1,a2,a3,... be in harmonic progression with a1=5a n da(20)=25. Th...

    Text Solution

    |

  11. Let the positive numbers a ,b ,ca d nd be in the A.P. Then a b c ,a b ...

    Text Solution

    |

  12. If m is the A.M of two distict real numbers l and n (l, n gt 1)and G1,...

    Text Solution

    |

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

    Text Solution

    |

  14. If alpha in (0,pi/2),t h e nsqrt(x^2+x)+(tan^2alpha)/(sqrt(x^2+x)) is ...

    Text Solution

    |

  15. If a1,a2,a3,....an are positive real numbers whose product is a fixed ...

    Text Solution

    |

  16. If a ,b ,c ,d are positive real umbers such that a=b+c+d=2,t h e nM=(a...

    Text Solution

    |

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

    Text Solution

    |

  18. A pack contains n cards numbered from 1 to n . Two consecutive numbere...

    Text Solution

    |

  19. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |

  20. Let (a1,a2,a3….,a11) be real numbers satsfying a1=15,27-2a2 gt 0 and ...

    Text Solution

    |