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Mathematics
Problem
Prove that the straight line
l
x
+
m
y
+
n
=
0
touches the ellipse
x
2
a
2
+
y
2
b
2
=
1
if
a
2
l
2
+
b
2
m
2
=
n
2
.
lx + my + n = 0 \text{ touches the ellipse } \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \text{ if } a^2l^2 + b^2m^2 = n^2.
l
x
+
m
y
+
n
=
0
touches the ellipse
a
2
x
2
+
b
2
y
2
=
1
if
a
2
l
2
+
b
2
m
2
=
n
2
.
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