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AIEEE 2004 Math Solved Paper
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© examsnet.com
Question : 27
Total: 68
If
a
≠
0
and the line
2
b
x
+
3
c
y
+
4
d
=
0
passes through the points of intersection of the parabolas
y
2
=
4
a
x
and
x
2
=
4
a
y
, then
d
2
+
(
3
b
−
2
c
)
2
=
0
d
2
+
(
3
b
+
2
c
)
2
=
0
d
2
+
(
2
b
−
3
c
)
2
=
0
d
2
+
(
2
b
+
3
c
)
2
=
0
Validate
Solution:
Solving equations of parabolas
y
2
=
4
a
x
and
x
2
=
4
a
y
we get
(
0
,
0
)
and
(
4
a
,
4
a
)
Substituting in the given equation of line
2
b
x
+
3
c
y
+
4
d
=
0
we get
d
=
0
and
2
b
+
3
c
=
0
⇒
d
2
+
(
2
b
+
3
c
)
2
=
0
© examsnet.com
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