Math miscellaneousHard
Question
If A1, A2; G1 G2 and H1, H2 be two AM′s; GM′s and HM′s between two numbers then the value of 
is :-
is :-Options
A.
B.
C.
D.
Solution
Let the number are a & b.
Then a, A1, A2, b are in A.P. ⇒ A1 + A2 = a + b
a, G1, G2, b are in GP ⇒ G1G2 = ab
a, H1, H2, b are in HP
⇒
∴
⇒
Then a, A1, A2, b are in A.P. ⇒ A1 + A2 = a + b
a, G1, G2, b are in GP ⇒ G1G2 = ab
a, H1, H2, b are in HP
⇒
∴
⇒
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