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 ), (1)/(1 + log z) `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

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

Similar Questions

Explore conceptually related problems

int (1)/(log x)-(1)/((log x)^(2))dx=

If y = (log x )/(x) then y _(1) (1) =

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

f(x) - log (x^(2) + 2) - log 3 in [-1, 1]

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

int (1)/(x log x [log (log x)])dx on (1, oo).

If |x| lt 1 , then (1)/(2) log((1+x)/(1-x))=

If x gt 0, then (x)/(1+x)-log (1+x)

DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. If the system of linear equations x+2ay+az=0, x+3by+bz=0,x+4ch+cz=0 ha...

    Text Solution

    |

  2. Let f (x ) be a polynomial function of second degree. If f (1) = f( -1...

    Text Solution

    |

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

    Text Solution

    |

  4. If (a + bx)/(a - bx) = (b + cx)/(b - cx) = (c + dx)/(c - dx)( x ne 0),...

    Text Solution

    |

  5. If a^(x) = b^(y) = c^(z) = d^(t) and a ,b ,c d are in G.P . Then x, y,...

    Text Solution

    |

  6. If a,b and c are in G.P then (b - a)/(b - c) + (b + a)/(b + c)

    Text Solution

    |

  7. If a,b,c are unequal numbers such that a,b,c are in A.P and b - a, c -...

    Text Solution

    |

  8. If 2(y - a) is the H.M between y - x and y - z, then x - a, y -a, z - ...

    Text Solution

    |

  9. Suppose a, b, c are positive resl numbers different from 1. If log(a) ...

    Text Solution

    |

  10. If (1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2)) are in H.P., then

    Text Solution

    |

  11. If b +c, c + a, a + b are in H.P then

    Text Solution

    |

  12. If a, 8, b are in A.P, a, 4 , b are in G.P, a , x, b are in H.P then x...

    Text Solution

    |

  13. Three positive numbers form an increasing G.P. if the middle term in t...

    Text Solution

    |

  14. If a,b,c are real

    Text Solution

    |

  15. If p,q,r are three positive real numbers then the value of (p + q) (q ...

    Text Solution

    |

  16. Suppose a, b, c are in A.P and a^(2), b^(2), c^(2) are in G.P if a lt ...

    Text Solution

    |

  17. If I(n) = int(0)^(pi//4) Tan^(n) x dx then I(2)+I(4), I(3)+I(5), I(4)+...

    Text Solution

    |

  18. If a,b,c are in A.P., p,q,r are in H.P and ap, bq, cr are in G.P., th...

    Text Solution

    |

  19. If a ((1)/(b) + (1)/(c )), b ((1)/(c )+ (1)/(a)), c ((1)/(a) + (1)/(b)...

    Text Solution

    |

  20. If a,b,c are in H.P., then the straight line (x)/(a) + (y)/(b) + (1)/(...

    Text Solution

    |