Home
Class 14
MATHS
Three distinct numbers a, b, c form a G...

Three distinct numbers `a, b, c ` form a GP in that order and the numbers `a+b, b+c, c+a` form an AP in that order. Then the common ratio of the GP is

A

1

B

`-2`

C

2

D

either a or b

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    DISHA PUBLICATION|Exercise STANDARD LEVEL|27 Videos

  • PROGRESSIONS

    DISHA PUBLICATION|Exercise EXPERT LEVEL|25 Videos

  • PROGRESSIONS

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

  • PROFIT, LOSS AND DISCOUNT

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

  • QUADRATIC AND CUBIC EQUATIONS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos

Similar Questions

Explore conceptually related problems

Three distinct numbers a,b,c from a GP in that order and the numbers a-:b,b-:c,c-:a form an AP in that order.Then the common ratio of the GP is :

Three distinct numbers x,y,z form a GP in that order and the numbers 7x+5y,7y+5z,7z+5x form an AP in that order. The common ratio of GP is

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

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

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

Three distinct non-zero real numbers form an A.P. and the squares of these numbers taken in same order form a G.P.If possible common ratio of G.P. are 3 pm sqrtn, n in N then n =

DISHA PUBLICATION-PROGRESSIONS-FOUNDATION LEVEL
  1. The sum of the 6th and 15th elements of an arithmetic progression is e...

    Text Solution

    |

  2. In a geometric progression, the sum of the first and the last term is ...

    Text Solution

    |

  3. Four geometric means are inserted between 1/8 and 128. Find the third ...

    Text Solution

    |

  4. How many terms of the series 1 + 3 + 5 + 7 + ..... amount to 123454321...

    Text Solution

    |

  5. An equilateral triangle is drawn by joining the midpoints of the sides...

    Text Solution

    |

  6. The sum to infinity of the progression 9-3 + 1-1/3 + ……..is

    Text Solution

    |

  7. The sequence [xn] is a GP with x2/x4 = 1/4 and x1 + x4 = 108. What wil...

    Text Solution

    |

  8. The 1st, 8th and 22nd terms of an AP are three conscutive terms of a G...

    Text Solution

    |

  9. If the mth term of an AP is 1/n and nth term is 1/m, then find the sum...

    Text Solution

    |

  10. Find the value of 1– 2 – 3 + 2 – 3 – 4 + ... + upto 100 terms.

    Text Solution

    |

  11. If log ((5c)/(a)) , log ((3b)/(5c)) and log ((a)/(3b)) are n an A.P.,...

    Text Solution

    |

  12. If 1/x +1/z + (1)/(x - y) + (1)/(z - y) = 0 , which of the following ...

    Text Solution

    |

  13. Let n > 1, be a positive integer. Then the largest integer m, such tha...

    Text Solution

    |

  14. The sum of an infinite GP whose common ratio is numerically less than ...

    Text Solution

    |

  15. The sum of the series 1/(sqrt2 + sqrt1) + 1/(sqrt2 + sqrt3) + ……+ 1/ (...

    Text Solution

    |

  16. What will be the value of x^(1//2) , x^(1//4) , x^(1//8) ……. To infini...

    Text Solution

    |

  17. Find the sum of n terms of the series 11 + 103 + 1005 + ...

    Text Solution

    |

  18. Three distinct numbers a, b, c form a GP in that order and the number...

    Text Solution

    |

  19. Two AMs. A1 and A2, two GMs. G1 and G2 and two HMs. H1 and H2 are ins...

    Text Solution

    |

  20. v45

    Text Solution

    |