Home
Class 11
MATHS
If x >1,y >1,a n dz >1 are in G.P., then...

If `x >1,y >1,a n dz >1` are in G.P., then `1/(1+lnx),1/(1+l ny)a n d1/(1+l nz)` are in a. `AdotPdot` b. `HdotPdot` c. `GdotPdot` d. none of these

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove that x ,a n d4,z are in H.P.

If A,B,C, are the angles of a triangle such that cot(A/2)=3tan(C/2), then sinA ,sinB ,sinC are in (a) AdotPdot (b) GdotPdot (c) HdotPdot (d) none of these

If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P. c. H.P. d. none of these

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

The exradii r_1,r_2 and r_3 of /_\A B C are in H.P. Show that its sides a , b a n d c are in AdotPdot

If x ,y ,a n dz are distinct prime numbers, then (a). x , y , a n dz may be in A.P. but not in G.P. (b) x , y , a n dz may be in G.P. but not in A.P. (c). x , y , a n dz can neither be in A.P. nor in G.P. (d).none of these

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

If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in GP.

If x is real, then x//(x^2-5x+9) lies between a. -1a n d-1//11 b. 1a n d-1//11 c. 1a n d1//11 d. none of these

If a, b, c are in A.P., b, c, d are in G.P. and 1/c ,""1/d ,""1/e are in A.P. prove that a, c, e are in G.P.

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Let An = (3/4) -(3/4)^2 + (3/4)^3 +.....+(-1)^(n - 1) (3/4)^n , Bn = 1...

    Text Solution

    |

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

    Text Solution

    |

  3. If x >1,y >1,a n dz >1 are in G.P., then 1/(1+lnx),1/(1+l ny)a n d1/(1...

    Text Solution

    |

  4. Compute the 100th term of HP if the 10th and 20th term of HP are 20 an...

    Text Solution

    |

  5. Find the 6th and nth term of the GP 2, 6, 18, 54,.....

    Text Solution

    |

  6. If a,b,c are in AP and a^2,b^2,c^2 are in HP, then

    Text Solution

    |

  7. Let a ,b be positive real numbers. If a, A1, A2, b be are in arithmeti...

    Text Solution

    |

  8. The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, ...

    Text Solution

    |

  9. If a^2+b^2,a b+b c and b^2+c^2 are in G.P., then a ,b ,c are in a. A.P...

    Text Solution

    |

  10. If y^2=x za n da^x=b^y=c^z , then prove that (log)6a=(log)c bdot

    Text Solution

    |

  11. The geometric mean between -9 and -16 is a.12 b. -12 c. -13 d. none of...

    Text Solution

    |

  12. The value of 0.568 x 4.9 =?

    Text Solution

    |

  13. If (1+x)(1+x^2)(1+x^4)....(1+x^128)=sum(r=0)^nx^r then n is

    Text Solution

    |

  14. The number of terms common between the series 1+ 2 + 4 + 8..... to 100...

    Text Solution

    |

  15. Express the given complex number in (a+ib) form: (5-2i)^2

    Text Solution

    |

  16. If S denotes the sum to infinity and Sn the sum of n terms of the seri...

    Text Solution

    |

  17. If (a-b), (b-c), (c-a) are in GP then prove that (a+b+c)^2 =3(ab+bc+ca...

    Text Solution

    |

  18. Given that x+y+z=15 when a ,x ,y ,z ,b are in A.P. and 1/x+1/y+1/z=5/3...

    Text Solution

    |

  19. Let a1,a2,a3…… ,an be in G.P such that 3a1+7a2 +3a3-4a5=0 Then find c...

    Text Solution

    |

  20. The 9th term of the series 27+9+52/5+36/7+.... will be (a) 110/17 (b...

    Text Solution

    |