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Mathematics
Problem
If the area (in sq. units) of the region
{
(
x
,
y
)
:
y
2
≤
4
x
,
x
+
y
≤
1
,
x
≥
0
,
y
≥
0
}
\{(x, y) : y^2 \le 4x, x + y \le 1, x \ge 0, y \ge 0\}
{(
x
,
y
)
:
y
2
≤
4
x
,
x
+
y
≤
1
,
x
≥
0
,
y
≥
0
}
is
a
2
+
b
a\sqrt{2} + b
a
2
+
b
, then
a
−
b
a - b
a
−
b
is [JEE-MAIN ONLINE-2019] (1)
8
3
\frac{8}{3}
3
8
(2)
10
3
\frac{10}{3}
3
10
(3) 6 (4)
−
2
3
-\frac{2}{3}
−
3
2
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