Home
Class 12
MATHS
If x gt 1 , y gt 1 , z gt 1 are in G.P. ...

If `x gt 1 , y gt 1 , z gt 1` are in G.P. , then `(1)/(1 + log x) , (1)/(1 + log y)` and `(1)/(1 + log z)` are in

A

A.P

B

`H.P`

C

G.P

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos
  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

If x gt 1, y gt 1 , z gt 1 are in G.P., then : ( 1)/( 1+ log x ) , ( 1)/( 1+ log y ) , ( 1) /( 1 + log z ) are in :

If a gt 0, b gt 0 , c gt 0 are in G.P. , then : log_(a) x , log_(b) x, log_(c ) x are in :

int(1)/(x + x log x) dx .

If | x - 1| gt 5, then :

x+y+z = 15 if 9, x,y,z,a are in A.P., while (1)/( x) + ( 1)/( y) + ( 1)/( z) = ( 5)?( 3) if 9, x,y,z,a are in H.P., then the value of a will be :

If a,b,c are in G.P and a^((1)/(x))=b^((1)/(y))=c^((1)/(z)) , prove that x,y,z are in A.P.

If x,y,z are in A.P. and tan^(-1) x , tan^(-1) y and tan^(-1) z are also in A.P. then :

If x,y,z are in A.P. and tan^(-1)x , tan^(-1)y and tan^(-1) z are also in A.P., then :

If y^(x) = e^(y -x) , prove that (dy)/(dx) = ((1 + log y)^2)/(log y) .

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. If the sum of the first 2n terms of the A.P. 2,5,8,"……….." is equal to...

    Text Solution

    |

  2. An infinite G.P. has first term 'x' and sum '5' , then x belongs to :

    Text Solution

    |

  3. If (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) is an G.M between a and b then the ...

    Text Solution

    |

  4. If the sum of first n terms of an A.P. is cn^(2) , then the sum of squ...

    Text Solution

    |

  5. If (a+b)/(1-a b), b, (b+c)/(1-b c) are in A.P, then a, (1)/(b), c are ...

    Text Solution

    |

  6. If A(1), A(2) be two A.M's and G(1), G(2) be two G.M's between a and b...

    Text Solution

    |

  7. The sum pf 'n' terms of two arithmentic progressions are in the ratio ...

    Text Solution

    |

  8. If x=1+y+y^(2)+.. . to oo, then y is

    Text Solution

    |

  9. If A=1+r^(a)+r^(2 a)+r^(3 a)+.. . to oo and lebrge B=1+r^(b)+r^(2 b)+....

    Text Solution

    |

  10. The determinant : |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,...

    Text Solution

    |

  11. If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...

    Text Solution

    |

  12. Every element of a G.P is positive and also every element is the sum o...

    Text Solution

    |

  13. If x gt 1 , y gt 1 , z gt 1 are in G.P. , then (1)/(1 + log x) , (1)/(...

    Text Solution

    |

  14. age0, then sum(n=1)^(infty)((a)/(a+1))^(n) equals

    Text Solution

    |

  15. If x,y,z are in A.P. and tan^(-1) x , tan^(-1) y and tan^(-1) z are a...

    Text Solution

    |

  16. The sum of three numbers in A.P. is 27 and the sum of their squares is...

    Text Solution

    |

  17. If a,b,c,d and p are distinct non -zero real numbers such that : ( a...

    Text Solution

    |

  18. If A.M of two numbers is twice their G.M, then the ratio of the greate...

    Text Solution

    |

  19. If S(n) = nP + (n (n - 1))/(2) Q where Sn denotes the sum of the first...

    Text Solution

    |

  20. The first and last elements of an A.P are a and l respectively. If S i...

    Text Solution

    |