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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 : 71
Total: 100
Let
L
be the line
y
=
2
x
, in the two dimensional plane.
Statement 1:
The image of the point (0,1) in
L
is the point
(
4
5
,
3
5
)
Statement 2:
The points (0,1) and
(
4
5
,
3
5
)
lie on opposite sides of the line
L
and are at equal distance from it.
[Online May 19, 2012]
Statement 1 is true, Statement 2 is false.
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1 .
Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1
Statement 1 is false, Statement 2 is true.
Validate
Solution:
Statement - 1
Let
P
′
(
x
1
,
y
1
)
be the image of (0,1) with respect to the line
2
x
−
y
=
0
then
x
1
2
=
y
1
−
1
−
1
=
−
4
(
0
)
+
2
(
1
)
5
⇒
x
1
=
4
5
,
y
1
=
3
5
Thus, statement- 1 is true.
Also, statement- 2 is true and correct explanation for statement- 1
© examsnet.com
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