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Byju's Answer
Standard XII
Mathematics
Section Formula
The points a ...
Question
The points
(
a
,
0
)
,
(
0
,
b
)
and
(
1
,
1
)
are collinear. Then the value of
1
a
+
1
b
is
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Solution
Let
A
=
(
a
,
0
)
,
B
=
(
0
,
b
)
and
C
=
(
1
,
1
)
and
B
divides the line segment
A
C
in the ratio of
k
:
1
.
Then, by section formula,
(
k
+
a
k
+
1
,
k
k
+
1
)
=
(
0
,
b
)
⇒
k
=
−
a
Now,
k
k
+
1
=
b
⇒
−
a
1
−
a
=
b
⇒
a
−
1
a
=
1
b
∴
1
a
+
1
b
=
1
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Q.
If
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,
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If
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Section Formula
Standard XII Mathematics
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