Point (j,k) is on the circle represented by j^2+k^2=10, and j, k are integers. How many such points are possible?	Answers
A) 0  B) 2  C) 4  D) 6  E) 8
j^2+k^2=10 and k, k are integers means that 10 is the sum of two perfect squares.   10 is the sum of only one pair of perfect squares 1 and 9.   So, there can be 8 such points, 4 in each quadrant:   (1, 3);   (1, -3);   (-1, 3);   (-1, -3);   (3, 1);   (3, -1);   (-3, 1);   (-3, -1).   Answer: 8.
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Point (j,k) is on the circle represented by j^2+k^2=10, and j, k are integers. How many such points are possible?