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BITSAT 2016 Solved Question Paper
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© examsnet.com
Question : 112
Total: 150
The equation
x
2
−
2
√
3
x
y
+
3
y
2
−
3
x
+
3
√
3
y
−
4
=
0
represents
a pair of intersecting lines
a pair of parallel lines with distance between them
5
√
2
a pair of parallel lines with distance between them
5
√
2
a conic section, which is not a pair of straight lines
Validate
Solution:
We have
a
=
1
,
h
=
−
√
3
,
b
=
3
,
g
=
−
3
2
,
f
=
3
√
3
2
c
=
−
4
Thus
a
b
c
+
2
f
g
h
−
a
f
2
−
b
g
2
−
c
h
2
=
0
Hence the equation represents a pair of straight lines.
Again
a
h
=
h
b
=
g
f
=
−
1
√
3
∴ the lines are parallel. The distance between them
=
2
√
g
2
−
a
c
a
(
a
+
b
)
=
2
√
9
4
+
4
1
(
1
+
3
)
=
5
2
© examsnet.com
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