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Mathematics
Mathematics
Problem
If the points
A
(
a
,
0
)
A(a, 0)
A
(
a
,
0
)
,
B
(
0
,
b
)
B(0, b)
B
(
0
,
b
)
and
C
(
1
,
1
)
C(1, 1)
C
(
1
,
1
)
are collinear, prove that
1
a
+
1
b
=
1
\frac{1}{a} + \frac{1}{b} = 1
a
1
+
b
1
=
1
.
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