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Problem
Problem
Find the condition that the line
x
cos
α
+
y
sin
α
=
p
x \cos \alpha + y \sin \alpha = p
x
cos
α
+
y
sin
α
=
p
may touch the curve
(
x
a
)
m
+
(
y
b
)
m
=
1
\left(\frac{x}{a}\right)^m + \left(\frac{y}{b}\right)^m = 1
(
a
x
)
m
+
(
b
y
)
m
=
1
.
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