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AIEEE 2012 Solved Paper
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© examsnet.com
Question : 67
Total: 89
If the line
2
x
+
y
=
k
passes through the point which divides the line segment joining the points
(
1
,
1
)
and
(
2
,
4
)
in the ratio
3
:
2
, then
k
equals :
29
5
5
6
11
3
Validate
Solution:
The point which divides the line segment joining the points
(
1
,
1
)
and
(
2
,
4
)
in the ratio
3
:
2
is
=
(
3
×
2
+
2
×
1
3
+
2
,
3
×
4
+
2
×
1
3
+
2
)
=
(
6
+
2
5
,
12
+
2
5
)
=
(
8
5
,
14
5
)
Since the line
2
x
+
y
=
k
passes through this point,
∴
2
×
8
5
+
14
5
=
k
or
30
5
=
k
or,
k
=
6
© examsnet.com
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