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NIMCET 2023 Question Paper with solutions
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© examsnet.com
Question : 4
Total: 120
Let
a
,
b
,
c
and
d
be non-zero numbers. If the point of intersection of the lines
4
a
x
+
2
a
y
+
c
=
0
and
5
b
x
+
2
b
y
+
d
=
0
lies in the fourth quadrant and is equidistant from the two axes, then:
2
a
d
−
3
b
c
=
0
3
b
c
+
2
a
d
=
0
a
d
−
b
c
=
0
a
+
b
+
c
+
d
=
0
Validate
Solution:
we get
(
k
,
−
k
)
Putting this value in given equation,
4
a
k
+
2
a
(
−
k
)
+
c
=
0
2
a
k
+
c
=
0
and
5
b
(
k
)
+
2
b
(
−
k
)
+
d
=
0
3
b
k
+
d
=
0
k
k
=
c
2
a
=
d
3
b
3
b
c
−
2
a
d
=
0
.
© examsnet.com
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