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Test Index
JEE Main Math Class 11 Straight Lines and Pair of Straight Lines 1 Questions
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© examsnet.com
Question : 47
Total: 100
A straight line
L
through the point (3,-2) is inclined at an angle of
60
∘
to the line
√
3
x
+
y
=
1
. If
L
also intersects the
x
-axis, then the equation of
L
is :
[Online April 11, 2015]
y
+
√
3
x
+
2
−
3
√
3
=
0
√
3
y
+
x
−
3
+
2
√
3
=
0
y
−
√
3
x
+
2
+
3
√
3
=
0
√
3
y
−
x
+
3
+
2
√
3
=
0
Validate
Solution:
Given eqn of line is
y
+
√
3
x
−
1
=
0
⇒
y
=
−
√
3
x
+
1
⇒
(
slope
)
m
2
=
−
√
3
Let the other slope be
m
1
∴
tan
60
∘
=
∣
m
1
−
(
−
√
3
)
1
+
(
−
√
3
m
1
)
⇒
m
1
=
0
,
m
2
=
√
3
Since line
L
is passing through (3,-2)
∴
y
−
(
−
2
)
=
+
√
3
(
x
−
3
)
⇒
y
+
2
=
√
3
(
x
−
3
)
y
−
√
3
x
+
2
+
3
√
3
=
0
© examsnet.com
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