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Mathematics
Mathematics
Problem
If
p
p
p
is the length of the perpendicular from the origin to the line
x
a
+
y
b
=
1
\frac{x}{a} + \frac{y}{b} = 1
a
x
+
b
y
=
1
, then prove that
1
a
2
+
1
b
2
=
1
p
2
\frac{1}{a^2} + \frac{1}{b^2} = \frac{1}{p^2}
a
2
1
+
b
2
1
=
p
2
1
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