Home
Class 12
MATHS
17. If x gt 1, y gt 1, z gt1 are in G.P,...

17. If `x gt 1, y gt 1, z gt1` are in G.P, then `1/(1+ ln x), 1/( 1+ ln y), 1/(1+ lnz)` are in

A

A.P

B

G.P

C

H.P

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 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

17.If x>1,y>1,z>1 are in G.P.then (1)/(1+ln x),(1)/(1+ln y),(1)/(1+ln z) are in

If x gt 1 , y gt 1 , z gt 1 are in G.P. , then log_(ex)e , log_(ey)e , log_(ez)e are in

If x y z are in GP(x y z>1) then (1)/(2x+log x) , (1)/(4x+log y) , (1)/(6x+log z) are in 1) AP 2) GP 3) HP 4) AGP

2x - y gt 1 , x - 2y lt 1

(1fx,y,z are in G.P.(x,y,z>1), then )/(2x+log_(e)x)*(1)/(4x+log_(e)y),(1)/(6x+log_(e)z) are

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If the sum of the first 2n terms of the A.P.2,5,8,…, is equal to the s...

    Text Solution

    |

  2. For a positive integer n let a(n)=1+1/2+1/3+1/4+1/((2^n)-1)dot Then a(...

    Text Solution

    |

  3. 17. If x gt 1, y gt 1, z gt1 are in G.P, then 1/(1+ ln x), 1/( 1+ ln ...

    Text Solution

    |

  4. Let x be the arithmetic mean and y ,z be tow geometric means between a...

    Text Solution

    |

  5. If 1/1^3 + (1+2)/(1^3+2^3)+(1+2+3)/(1^3+2^3+3^3) +.......n terms then ...

    Text Solution

    |

  6. Let underset(r=1)overset(n)sumr^(4)=f(n)," then "underset(r=1)overset(...

    Text Solution

    |

  7. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

    Text Solution

    |

  8. If the first and (2n + 1)th terms of an A.P. , G.P. and H.P. are equal...

    Text Solution

    |

  9. If a(n+1)=(1)/(1-a(n))" for " n ge 1 and a(3)=a(1)," then "(a(2022))^(...

    Text Solution

    |

  10. If f(x+y)=f(xy) AA x, y epsilon R, and f (2013) =2013, then f(-2013) e...

    Text Solution

    |

  11. If sum(r=1)^(n)T(r)=(n(n+1)(n+2)(n+3))/(12) where T(r) denotes the rt...

    Text Solution

    |

  12. The sum to n terms of the series 1/2+3/4+7/8+15/16+..... is given by

    Text Solution

    |

  13. let 0ltphiltpi/2, x=sum(n=0)^oocos^(2n)phi, y=sum(n=0)^oosin^(2n)phi a...

    Text Solution

    |

  14. The sum to n terms of the series (1)/(sqrt(7)+sqrt(10))+(1)/(sqrt(10)+...

    Text Solution

    |

  15. If S(n)=Sigma(r=1)^(n)t(r)=(1)/(6)n(2n^(2)+9n+13), then Sigma(r=1)^(n)...

    Text Solution

    |

  16. The interior angles of a convex polygon are in A.P. If the smallest an...

    Text Solution

    |

  17. If the terms of the A.P. sqrt(a-x),sqrt(x),sqrt(a+x) are all in intege...

    Text Solution

    |

  18. If 1/(1^2)+1/(2^2)+1/(3^2)+ tooo=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^...

    Text Solution

    |

  19. If the sides of a right-angled triangle are in A.P., then the sines of...

    Text Solution

    |

  20. If exp (sin^2x+sin^4x +sin^6 x........upto oo)loge 2 satisfies the equ...

    Text Solution

    |