Home
Class 12
MATHS
If H1. H2...., Hn are n harmonic means b...

If `H_1. H_2...., H_n` are n harmonic means between a and b`(!=a)`, then the value of `(H_1+a)/(H_1-a)+(H_n+b)/(H_n-b)`=

A

n

B

2n

C

`1//n`

D

`2//n`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION & SERIES

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos
  • PROGRESSION & SERIES

    FIITJEE|Exercise COMPREHENSIONS -I|3 Videos
  • PROGRESSION & SERIES

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL-II|17 Videos
  • PROBABILITY

    FIITJEE|Exercise Exercise 7|2 Videos
  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If the harmonic mean between a and b be H, then the value of (1)/(H-a)+(1)/(H-b) is-

8.If H1,H2,......, H2010are 2010 harmonic means between a and b(#a) ,then value of (H_(1)+a)/(H1-a)+(H_(2010)+b)/(H_(2010)-b) is equal to

If H be the H.M. between a and b, then the value of (H)/(a)+(H)/(b) is

If H_(1),H_(2)…H_(4) be (n-1) harmonic means between a and b, then (H_(1)+a)/(H_(1)-a)+(H_(n-1)+b)/(H_(n-1)-b) is equal to

If H be the harmonic mean of a and b then find the value of H/a+H/b-2

If H_(1),H_(2),...,H_(20) are 20 harmonic means between 2 and 3, then (H_(1)+2)/(H_(1)-2)+(H_(20)+3)/(H_(20-3))= a.20 b.21c.40d.38

If H_1.,H_2,…,H_20 are 20 harmonic means between 2 and 3, then (H_1+2)/(H_1-2)+(H_20+3)/(H_20-3)=

FIITJEE-PROGRESSION & SERIES -ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

    Text Solution

    |

  2. If xi>0 i=1,2,3,...50 x1+x2...+x50=50 then the minimum value of 1/(x1)...

    Text Solution

    |

  3. If H1. H2...., Hn are n harmonic means between a and b(!=a), then the ...

    Text Solution

    |

  4. The largest interval for which the series 1+(x-1)+(x-1)^(2)+….oo may ...

    Text Solution

    |

  5. 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

    |

  6. Let Tr a n dSr be the rth term and sum up to rth term of a series, res...

    Text Solution

    |

  7. Let a1,a2,a3... be in A.P. and ap,aq,ar be in G.P. then value of aq/ap...

    Text Solution

    |

  8. If H(1),H(2),H(3),…..H(2n+1) are in H.P then sum(i=1)^(2n)(-1)^(j)((H(...

    Text Solution

    |

  9. If the sequences 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8….. where n consecutive ...

    Text Solution

    |

  10. If S(r)= sum(r=1)^(n)T(1)=n(n+1)(n+2)(n+3) then sum(r=1)^(10) 1/(T(r))...

    Text Solution

    |

  11. a,b,c,d,e are five numbers in which the first three are in A.P and th...

    Text Solution

    |

  12. The coefficient of x^15 in the product (1-x)(1-2x) (L-2^2 x) (L-2^3 ...

    Text Solution

    |

  13. Sum of n terms of the series (2n-1)+2(2n-3)+3(2n-5)+... is

    Text Solution

    |

  14. The sum of n terms of the series 5/(1.2). 1/3 +7/(2.3). 1/(3^(2))+9/(...

    Text Solution

    |

  15. Let tr=2^(r/2)+2^(-r/2) then sum(r=1)^10 tr^2=

    Text Solution

    |

  16. In a sequence of (4n+1) terms, the first (2n+1) terms are n A.P. whose...

    Text Solution

    |

  17. Let a(1),a(2),a(3),a(4),a(5) be a five term geometric sequence satisfi...

    Text Solution

    |

  18. The nth term of the series 10,23,60,169,494 , …….. is

    Text Solution

    |

  19. The value of sum(n=0)^(m) log ((a^(2n-1))/(b^(m-1)))(a != 0 , 1 , b ...

    Text Solution

    |

  20. A , r = 1 , 2, 3 ….., n are n points on the parabola y^(2)=4x in the...

    Text Solution

    |