Home
Class 12
MATHS
If H(1), H(2), ….. H(n) are n harmonic m...

If `H_(1), H_(2), ….. H_(n)` are n harmonic means between a and b (`ne` a), then the value of `(H_(1) + a)/(H_(1) - a) + (H_(n) + b)/(H_(n) - b)`

A

n + 1

B

n - 1

C

2n

D

2n + 3

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

If the harmonic mean between a and b is (a^(n + 1) + b^(n - 1))/(a^(n) + b^(n)) , then n =

If h_(1),h_(2),h_(3) are lengths of altitudes of a Delta^("le")ABC and r is the inradius then minimum value of (h_(1)+r)/(h_(1)-r)+(h_(2)+r)/(h_(2)-r)+(h_(3)+r)/(h_(3)-r) is

Two A.M.'s A_(1) and A_(2) , two G.M.'s G_(1),G_(2) and two H.M.'s H_(1), H_(2) are inserted between any two non-zero positive numbers then (1)/(H_(1)) + (1)/(H_(2))=

The volume strength of 15 N H_(2)O_(2) is

Let a_(1), a_(2), …., a_(10) be in A.P and h_(1), h_(2),…. , h_(10) be I H.P if a_(1) = h_(1) = 2 and a_(10) = h_(10) = 3, then a_(4) h_(7) is

H_(1),H_(2) are 2 H.M.'s between a,b then (H_(1) + H_(2))/(H_(1).H_(2)) =

What is the oxidation state of N in (N_(2)H_(5))SO_(4) ?

[H_(1)^(2)H and ""_(1)^(3)H] will have the same

Let a_(1), a_(2) ….a_(10) be A.P and h_(1), h_(2)…h_(10) be in H.P. If a_(1)=h_(1)=2 and a_(10)= h_(10)=3 the a_(3)h_(8) =

DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. x,y are two real numbers. If A is half of their sum, G is root of thei...

    Text Solution

    |

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

    Text Solution

    |

  3. If H(1), H(2), ….. H(n) are n harmonic means between a and b (ne a), t...

    Text Solution

    |

  4. The harmonic mean of two numbers is 4 their arithmetic mean is A and g...

    Text Solution

    |

  5. The ratio of the harmonic mean to the geometric mean of two positive n...

    Text Solution

    |

  6. If b + c, c + a , a + b are in A.P then a , b , c are in

    Text Solution

    |

  7. If a^(2), b^(2), c^(2) are in A.P., then (a)/(b + c) , (b)/(c + a), (c...

    Text Solution

    |

  8. IF the roots of (b-c) x^2+ (c-a) x+ (a-b) =0 are equal then ...

    Text Solution

    |

  9. IF the roots of a(b-c)x^2+b (c-a) x+c (a-b)=0 are equal then a, ...

    Text Solution

    |

  10. If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 ...

    Text Solution

    |

  11. If the system of linear equations x+2ay+az=0, x+3by+bz=0,x+4ch+cz=0 ha...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |