2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
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
Open in App
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
Suggest Corrections
115
Similar questions
Q.
If
(
a
,
0
)
,
(
0
,
b
)
,
(
1
,
1
)
are collinear then
1
a
+
1
b
=
Q.
If
(
a
,
0
)
,
(
0
,
b
)
and
(
1
,
1
)
are collinear, then
1
a
+
1
b
=
?
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Explore more
Section Formula
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app