If H1, H2 are 2 H.M's between a,b then
H₂ + H₂
H₂.H₂
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2
Answer:
H
1
,H
2
are 2 H.M.’s between a,b then
H
1
.H
2
H
1
+H
2
=
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ANSWER
Let H
1
H
2
be the two H.M's
and lets say
a
1
,A
1
,A
2
,
b
1
be in corresponding A.P after taking reciprocals.
So we can write
a
1
+3d=
b
1
A
1
=a+d,A
2
=a+2d
Substitutingd, we get A
1
=
3a
2
+
3b
1
,A
2
=
3a
1
+
3b
2
Now
H
1
+H
2
(H
1
).(H
2
)
=A
1
+A
2
=
ab
a+b
Answered By Bhavya08verma
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