Question

If A₁, A₂ are two A.M.s. G₁, G₂ are two G.M.s. and H₁, H₂ are two H.M.s between two numbers, then is equal to

• A.
• B.
• C.
• D.

Answer 1

Answer: (B)

Answer 2

a₁, A₁, A₂, b in A.P.Ž A₁ + A₂ = a + b

a, G₁, G₂, b in G.P.; G₁ G₂ = ab

aH₁H₂ b in H.P.

$\frac { 1 } { \mathrm { H } _ { 1 } }$+ $\frac { 1 } { \mathrm { H } _ { 2 } }$= $\frac { 1 } { \mathrm { a } }$ + Ž$\frac { \mathrm { H } _ { 1 } + \mathrm { H } _ { 2 } } { \mathrm { H } _ { 1 } \mathrm { H } _ { 2 } }$=

$\frac { \mathrm { H } _ { 1 } + \mathrm { H } _ { 2 } } { \mathrm { H } _ { 1 } \mathrm { H } _ { 2 } }$= Ž =