¶ 1973 AHSME Problem 11
Problem: A circle with a circumscribed and an inscribed square centered at the origin of a rectangular coordinate system with positive and axes and , is shown in each figure I to IV below
The inequalities
are represented geometrically by the figure numbered
Answer Choices:
A.
B.
C.
D.
E. None of these
Solution:
Cosider the figure for some positive integer . Tbe equation of the cuter diamood is . Points on or inside the diamond satisfy (1) . The equations of the circie is , so points on the circle satisify .
The equation of the inner square is , so points on or contaide the square satisfy
Thus from , and it is seen that points on the circle antiafy .
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