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JEEMAIN-2016
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Q)
If a variable line drawn through the intersection of the lines
x
3
+
y
4
=
1
and
x
4
+
y
3
=
1
, meets the coordinate axes at
A
and
B
,
(
A
≠
B
)
,
then the locus of the midpoint of AB is :
(
1
)
6
x
y
=
7
(
x
+
y
)
(
2
)
4
(
x
+
y
)
2
−
28
(
x
+
y
)
+
49
=
0
(
3
)
7
x
y
=
6
(
x
+
y
)
(
4
)
14
(
x
+
y
)
2
−
97
(
x
+
y
)
+
168
=
0
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