Home
Class 11
MATHS
If a, b, c are in G.P. and x, y are arit...

If a, b, c are in G.P. and x, y are arithmetic mean of a, b and b, c respectively, then `1/x +1/y` is equal to :

A

`2/b`

B

`3/b`

C

`b/3`

D

`b/2`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in G.P. and x,y are the arithmetic means of a,b and b,c respectively. Then prove that a/x+c/y=2 and 1/x+1/y=2/b .

a, b, c are in G.P. and x and y are the A.M.’s between a, b and b, c respectively. Show that : a/x+c/y=2 .

a, b, c are in G.P. and x and y are the A.M.’s between a, b and b, c respectively. Show that : 1/x+1/y=2/b .

If a^x=b^y=c^z and a, b, c are in G.P. then x,y,z are in :

If a,b,c and in A.P, then x^a,x^b,x^c are in:

If x,y,z are in G.P. and a^x= b^y=c^z , prove that log_b a. log_b c=1 .

If 1/a,1/b,1/c are in A.P and a,b -2c, are in G.P where a,b,c are non-zero then

If a,b,c, d are in G.P., show that : a+b,b+ c and c+d are also in G.P.

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

P is a point (a, b, c). Let A, B, C be images of P in y-z, z-x and x-y planes respectively, then the equation of the plane ABC is

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If x is a positive number different from 1, such that logax,logbx and ...

    Text Solution

    |

  2. For what value of m, (a^(m+1)+b^(m+1))/(a^m+b^m) is the arithmetic mea...

    Text Solution

    |

  3. If a, b, c are in G.P. and x, y are arithmetic mean of a, b and b, c r...

    Text Solution

    |

  4. A student read common difference of an A.P. as -3 instead of 3 and obt...

    Text Solution

    |

  5. If a1=1 and an =na(n-1), for all positive integers n ge 2, then a5 is ...

    Text Solution

    |

  6. If a1, a2, ............, an are in A.P.with common difference d ne 0, ...

    Text Solution

    |

  7. The arithmetic mean of first n odd natural numbers is :

    Text Solution

    |

  8. In a sequence of 21 terms the first 11 terms are in A.P. with common d...

    Text Solution

    |

  9. If the sum to 2n terms of the A.P. 2, 5, 8, 11, .... is equal to the s...

    Text Solution

    |

  10. The third term of a GP is 3. What is the product of the first five ter...

    Text Solution

    |

  11. If the sum of the first two terms and the sum of the first four terms ...

    Text Solution

    |

  12. If n> 1 and log2 x,log3 x, logx 16, are in G.P., then what is x equal ...

    Text Solution

    |

  13. In a geometric progression with first term a and common ratio r, what ...

    Text Solution

    |

  14. The harmonic mean of two numbers is 21.6. If one of the numbers is 27,...

    Text Solution

    |

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

    Text Solution

    |

  16. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  17. Sum of the n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^...

    Text Solution

    |

  18. Let alpha and beta be the roots of x^2-x+p=0 and gamma and delta be th...

    Text Solution

    |

  19. Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd...

    Text Solution

    |

  20. If the sum to 2n terms of the A.P. 2, 5, 8, 11, .... is equal to the s...

    Text Solution

    |