Question

If H is the harmonic mean between p and q, then the value of
Η/p + H/q is
​

Answer 1

Answer:

If h is the harmonic mean of a and b, then

h=

a+b

2ab

Given, H is the harmonic mean between P and Q.

∴H=

P+Q

2PQ

⇒

P

H

=

P+Q

2Q

....(i)

Also,

Q

H

=

P+Q

2P

...(ii)

Adding Eqs. (i) and (ii)

P

H

+

Q

H

=

(P+Q)

2(P+Q)

=2.