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2024 JHMT HS
9
Area Involving Minimum and Sum of Squares
Area Involving Minimum and Sum of Squares
Source:
September 8, 2024
geometry
2024
Problem Statement
Compute the smallest positive integer
k
k
k
such that the area of the region bounded by
k
min
(
x
,
y
)
+
x
2
+
y
2
=
0
k\min(x,y)+x^2+y^2=0
k
min
(
x
,
y
)
+
x
2
+
y
2
=
0
exceeds
100
100
100
.
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