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Mathematics
Mathematics
Problem
The curve
(
x
a
)
n
+
(
y
b
)
n
=
2
\left(\frac{x}{a}\right)^n + \left(\frac{y}{b}\right)^n = 2
(
a
x
)
n
+
(
b
y
)
n
=
2
touches the straight line
x
a
+
y
b
=
2
\frac{x}{a} + \frac{y}{b} = 2
a
x
+
b
y
=
2
at the point
(
a
,
b
)
(a, b)
(
a
,
b
)
(a) for
n
=
3
n = 3
n
=
3
(b) for
n
=
2
n = 2
n
=
2
(c) for any value of
n
n
n
(d) for no value of
n
n
n
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