Home
Class 12
MATHS
Let a,b and c be distinct real numbers. ...

Let a,b and c be distinct real numbers. If a,b,c are in geometric progression and a+b+c=xb, then x lies in the set

A

(1,3)

B

`(-1,0)uu(1,2)`

C

`(-oo,-1)uu(3,oo)`

D

(0,1)

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. AIEEE/JEE Main Papers|87 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 numbers a, b and c are in geometric progression. If 4a, 5b and 4c are in arithmetic progression and a+b+c=70 , then the value of |c-a| is equal to

If a,b,c are distinct positive real numbers, then

Let a,b,c be positive integers such that (b)/(a) is an integer. If a,b,c are in geometric progression and the arithmetic mean of a,b,c is b+2 , the value of (a^(2)+a-14)/(a+1) is

a,b and c are distinct real numbers such that a:(b+c)=b:(c+a)

Let three positive numbers a, b c are in geometric progression, such that a, b+8 , c are in arithmetic progression and a, b+8, c+64 are in geometric progression. If the arithmetic mean of a, b, c is k, then (3)/(13)k is equal to

If three real numbers a,b and c are in harmonic progression, then which of the folllowing is true ?

If a, b and c be three distinct real number in G.P. and a + b + c = xb , then x cannot be

If a, b and c are in geometric progression then, a^(2), b^(2) and c^(2) are in ____ progression.

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. B-Architecture Entrance Examination Papers
  1. The value of the sum underset(i=1)overset(20)Sigmai(1/i+1/(i+1)+1/(i+2...

    Text Solution

    |

  2. Find the sum of all numbers between 200 and 400 which are divisible...

    Text Solution

    |

  3. Let a,b and c be distinct real numbers. If a,b,c are in geometric prog...

    Text Solution

    |

  4. If the sum of first n terms of two A.P.'s are in the ratio 3n+8 : 7n+1...

    Text Solution

    |

  5. A tree, in each year grows 5 cm less than it grew in the previous year...

    Text Solution

    |

  6. If (48)/(2.3)+(47)/(3.4)+(46)/(4.5)+ . . . +(2)/(48.29)+(1)/(49.50) ...

    Text Solution

    |

  7. If log(10)2, log(10)(2^(x)-1) and log(10)(2^(x)+3) are three consecuti...

    Text Solution

    |

  8. If a, b, c are in H.P, b, c, d are in G.P, and c, d, e are in A.P, the...

    Text Solution

    |

  9. If sum(k=1)^n ɸ(k)=2n/(n+1),then sum(k=1)^10 1/(ɸ(k))is equal to

    Text Solution

    |

  10. Let a,b,c,d and e be distinct positive numbers. If a,b,c and 1/c,1/d...

    Text Solution

    |

  11. If the sum of first 15 terms of the series 3+7+14+24+37+... Is 15k, t...

    Text Solution

    |

  12. Let a1,a2,a3,a4,a5 be a G.P. Of positive real numbers such that A.M. ...

    Text Solution

    |

  13. In an ordered set of four numbers, the first 3 are A.P. And the last ...

    Text Solution

    |

  14. If e^((sin^2x+sin^4x+sin^6x+..." upto" oo)In 2) satisfies the equation...

    Text Solution

    |

  15. For distinct positive numbers a,b and c, if a^2,b^2,c^2 are in A.P. Th...

    Text Solution

    |

  16. If three real numbers a,b,c all greater than one, are in a geometrica...

    Text Solution

    |

  17. The sum first 19 terms of the series 1^2+2(2^2)+3^2+2(4^2)+5^2+... is ...

    Text Solution

    |

  18. In an increasing geometric series, the sum of the first and the sixth ...

    Text Solution

    |

  19. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  20. An A.P. Having odd number of terms has its first, second and middle ...

    Text Solution

    |