Question

harmonic mean of 1/a , 1/b ​

Answer 1

Answer:

hey mate

Step-by-step explanation:

Let H be the harmonic mean between two numbers a and b.

So, a, H, b are in H.P.

This means that 1/a, 1/H, 1/b are in A.P.

or, 1/H – 1/a = 1/b – 1/H.

or, 2/H = 1/a + 1/b

= a+b/ab

∴     H = 2ab/a+b

Answer 2

Answer

Let h be the harmonic mean of two numbers $\frac{1}{a}$ and

$\frac{1}{b}$ .

So, $\frac{1}{a}$ , $\frac{1}{b}$ and h are in A.P

This means that  a,b and $\frac{1}{h}$  are in HP.

Now,we can write=>

h  = $\frac{2ab}{a+b}$

THIS  IS  THE  HARMONIC  MEAN  BETWEEN  THE  TWO     NUMBERS    $\frac{1}{a}$  and   $\frac{1}{b}$ .