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IIT JEE Advanced 2011 Paper 2
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© examsnet.com
Question : 54
Total: 60
The straight line 2x − 3y = 1 divides the circular region
x
2
+
y
2
≤ 6 into two parts. If
S =
{
(
2
,
3
4
)
,
(
5
2
,
3
4
)
,
(
1
4
,
−
1
4
)
,
(
1
8
,
1
4
)
}
then the number of point(s) in S lying inside the smaller part is _____.
Your Answer:
Validate
Solution:
L: 2x – 3y – 1
S:
x
2
+
y
2
–
6
If
L
1
> 0 and
S
1
< 0.
The point lies in the smaller part. Therefore,
(
2
,
3
4
)
and
(
1
4
,
−
1
4
)
lie inside.
© examsnet.com
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