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Byju's Answer
Standard XII
Mathematics
Geometric Mean
If f(x+y, x-y...
Question
If f(x+y, x-y)=xy then the arithmetic mean of f(x, y) and f(y, x) is (1) x (2) y (3) 0 (4) (x^2-y^2)
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Similar questions
Q.
If
f
(
x
+
y
,
x
−
y
)
=
x
y
, then the arithmetic mean of
f
(
x
,
y
)
and
f
(
y
,
x
)
is
Q.
If f(x+2y, x-2y)=xy,
then f(x, y) equals
Q.
If
f
(
x
+
2
y
,
x
−
2
y
)
=
x
y
,
then
f
(
x
,
y
)
equals
Q.
If f(x+2y, x-2y)=xy,
then f(x, y) equals
Q.
If
f
(
x
+
y
)
=
f
(
x
)
+
f
(
y
)
−
x
y
for all
x
,
y
∈
R
and
lim
h
→
0
f
(
h
)
h
=
3
, then the area bounded by the curves
y
=
f
(
x
)
and
y
=
x
2
is:
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