MathDB
Integral Points

Source: 1999 National High School Mathematics League, Exam One, Problem 2

March 9, 2020
calculusintegration

Problem Statement

The number of intengral points (x,y)(x,y) that fit (∣x∣−1)2+(∣y∣−1)2<2(|x|-1)^2+(|y|-1)^2<2 is (A)16(B)17(C)18(D)25\text{(A)}16\qquad\text{(B)}17\qquad\text{(C)}18\qquad\text{(D)}25
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