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JEE Main Math Class 11 Straight Lines and Pair of Straight Lines 1 Questions
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© examsnet.com
Question : 42
Total: 100
A straight line through origin
O
meets the lines
3
y
=
10
−
4
x
and
8
x
+
6
y
+
5
=
0
at points
A
and
B
respectively. Then
O
divides the segment
A
B
in the ratio :
[Online April 10, 2016]
2: 3
1: 2
4: 1
3: 4
Validate
Solution:
Length of
⟂
to
4
x
+
3
y
=
10
from origin (0,0)
P
1
=
10
5
=
2
Length of
⟂
to
8
x
+
6
y
+
5
=
0
from origin (0,0)
P
2
=
5
10
=
1
2
∵
Lines are parallel to each other
⇒
ratio will be 4: 1 or 1: 4
© examsnet.com
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