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Mathematics
Mathematics
Problem
The straight line
2
x
−
3
y
=
1
2x - 3y = 1
2
x
−
3
y
=
1
divides the circular region
x
2
+
y
2
≤
6
x^2 + y^2 \le 6
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
)
}
,
S = \left\{ \left( 2, \frac{3}{4} \right), \left( \frac{5}{2}, \frac{3}{4} \right), \left( \frac{1}{4}, -\frac{1}{4} \right), \left( \frac{1}{8}, \frac{1}{4} \right) \right\},
S
=
{
(
2
,
4
3
)
,
(
2
5
,
4
3
)
,
(
4
1
,
−
4
1
)
,
(
8
1
,
4
1
)
}
,
then the number of point(s) in
S
S
S
lying inside the smaller part is
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