Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations, 3x– y–z = 0, –3x + z = 0,

Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations, 3x – y – z = 0, –3x + z = 0, –3x + 2y + z = 0 . Then the number of such points for which x²+ y² + z² ≤ 100 is ........

Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations, 3x– y–z = 0, –3x + z = 0, –3x + 2y + z = 0 .

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