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Mathematics
Mathematics
Problem
If
l
x
+
m
y
=
1
lx + my = 1
l
x
+
m
y
=
1
touches the circle
x
2
+
y
2
=
a
2
x^2 + y^2 = a^2
x
2
+
y
2
=
a
2
, prove that the point
(
l
,
m
)
(l, m)
(
l
,
m
)
lies on the circle
x
2
+
y
2
=
a
−
2
x^2 + y^2 = a^{-2}
x
2
+
y
2
=
a
−
2
.
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