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Standard XII
Mathematics
Question
If the A.M between a and b is m times their H.M then a:b is :
√
m
+
√
m
+
1
√
m
−
√
m
+
1
√
m
−
√
m
−
1
√
m
+
√
m
+
1
√
m
+
√
m
−
1
√
m
−
√
m
−
1
√
m
−
√
m
+
1
√
m
+
√
m
+
1
A
√
m
−
√
m
−
1
√
m
+
√
m
+
1
B
√
m
−
√
m
+
1
√
m
+
√
m
+
1
C
√
m
+
√
m
+
1
√
m
−
√
m
+
1
D
√
m
+
√
m
−
1
√
m
−
√
m
−
1
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Solution
Verified by Toppr
A
m
=
a
+
b
2
H
m
=
2
a
b
a
+
b
A
m
H
m
=
(
a
+
b
)
2
4
a
b
=
m
n
let,
m
=
(
a
+
b
)
2
,
n
=
4
a
b
⇒
m
−
n
=
(
a
−
b
)
2
a
+
b
=
√
m
a
−
b
=
√
m
−
n
⇒
a
=
√
m
+
√
m
−
n
2
⇒
b
=
√
m
−
√
m
−
n
2
a
b
=
√
m
+
√
m
−
n
√
m
−
√
m
−
n
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