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CAT 2020 Exam Shift 3 Solved Paper
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© examsnet.com
Question : 68
Total: 76
The points
(
2
,
1
)
and
(
−
3
,
−
4
)
are opposite vertices of a parallelogram. If the other two vertices lie on the line
x
+
9
y
+
c
=
0
, then
c
is
12
14
13
15
Validate
Solution:
The given line also passes through the point of intersection of the diagonals of the parallelogram, which is the mid-point of
(
2
,
1
)
and
(
−
3
,
−
4
)
The mid-point of the given two points is
(
−
1
2
,
−
3
2
)
.
Substituting the point in the given equation
−
1
2
+
9
×
−
3
2
+
c
=
0
⇒
c
=
14
© examsnet.com
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