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

`n+1`

C

2n

D

`2n-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If H be the harmonic mean between x and y, then show that (H+x)/(H-x)+(H+y)/(H-y)=2

If (a^(n)+b^n)/ (a^(n-1) +b^(n-1)) is the A.M. between a and b, then find the value of n.

If nine arithmetic means and nine harmonic means are inserted between 2 and 3 alternatively, then prove that A+6//H=5 (where A is any of the A.M.'s and H the corresponding H.M.) dot

If three points (h,0), (a,b) and (0,k) lie on a line, show that (a)/( h) + (b)/(k)=1 .

The relation between B_(v) , B_(h) and B is ….... .

Let alpha and beta be two positive real numbers. Suppose A_1, A_2 are two arithmetic means; G_1 ,G_2 are tow geometrie means and H_1 H_2 are two harmonic means between alpha and beta , then