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Mathematics
Mathematics
Problem
If the line
x
cos
α
+
y
sin
α
=
p
x \cos \alpha + y \sin \alpha = p
x
cos
α
+
y
sin
α
=
p
is a tangent to the circle
x
2
+
y
2
=
a
2
x^{2} + y^{2} = a^{2}
x
2
+
y
2
=
a
2
, express
p
p
p
in terms of
a
a
a
. Using this result, find the condition for the line
x
+
y
=
4
x + y = 4
x
+
y
=
4
to be tangent to
x
2
+
y
2
=
8
x^{2} + y^{2} = 8
x
2
+
y
2
=
8
.
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