Home
Class 12
MATHS
If a ,b ,c are three distinct real numbe...

If `a ,b ,c` are three distinct real numbers in G.P. and `a+b+c=x b ,` then prove that either `x<<-1orx>>3.`

A

`x le -1 or x ge 3`

B

`x lt -1 or x gt 3`

C

`x le -1 or x gt 3`

D

`x lt -3 or x gt 2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos
  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are three distinct real numbers in G.P. and a+b+c=xb, then prove that either x . 3

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 ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3a cdot

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

If a,b,c are three distinct positive real numbers in G.P., than prove that c^2+2ab gt 3ac .

Let a,b,c be three distinct positive real numbers in G.P , then prove that a^(2)+2bc - 3ac gt 0

If a,b,c are three distinct numbers in G.P., b,c,a are in A.P and a,bc, abc, in H.P then the possible value of b is

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

If a,b,c are three distinct positive Real Numbers in G.P, then the least value of c^(2)+2ab is

DISHA PUBLICATION-SEQUENCES AND SERIES -EXERCISE -1 : Concept Builder
  1. If first and eightth terms of a G.P. are x^(-4) and x^(52) and it...

    Text Solution

    |

  2. Find the sum to n terms of the sequence : (i) (a+1/x)^(2), (x^(2)+1/...

    Text Solution

    |

  3. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , the...

    Text Solution

    |

  4. If S.P and R are the sum, product and sum of the reciprocals of n term...

    Text Solution

    |

  5. x and y are positive number.Let g and a be G.M. And AM of these number...

    Text Solution

    |

  6. Suppose x and y are real numbers such that -1 lt x lt y lt 1 Let G be ...

    Text Solution

    |

  7. The first two terms of a geometric progression add up to 12. The su...

    Text Solution

    |

  8. An infinite GP has first term x and sum 5, then x belongs to (2004, 1...

    Text Solution

    |

  9. (i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the...

    Text Solution

    |

  10. Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbet...

    Text Solution

    |

  11. If x(1), x(2), x(3) .................x(n) are in H.P.then x(1)x(2)+x(2...

    Text Solution

    |

  12. If the harmonic mean between a and b be H, then the value of 1/(H-a)+...

    Text Solution

    |

  13. The sum of 0. 2+0004+0. 00006+0. 0000008+... to oo is (200)/(891) b. ...

    Text Solution

    |

  14. If the p^(th), q^(th) and r^(th) terms of a H.P. are a,b,c respectivel...

    Text Solution

    |

  15. If a,b,c are three distinct positive real numbers which are in H.P., t...

    Text Solution

    |

  16. If a,b,c are in H.P., then the value of ((1)/(b)+(1)/(c)-(1)/(a))((1...

    Text Solution

    |

  17. If the 7^(th) term of a H.P is (1)/(10) and the 12^(th) term is (1)/(2...

    Text Solution

    |

  18. If 1/1^4+1/2^4+1/3^4+...+oo=pi^4/90, then 1/1^4+1/3^4+1/5^4+...+oo=

    Text Solution

    |

  19. If x, y and z are pth, gth and rth terms respectively of an A.P and al...

    Text Solution

    |

  20. The AM, HM and GM between two number are (144)/(15), 15 and 12, but no...

    Text Solution

    |