Let x y z be points with integer coordinates satisfying the system of homogeneous equations n3x y z 0 n

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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 x^2 + y^2 + z^2 = 100 is: Asked In IIT-JEE MAN (11 years ago); Unsolved; Is this Puzzle helpful? (1) (1) Submit Your Solution

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Latest IIT-JEE Aptitude Question SOLUTION: 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 whic

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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 x^2 + y^2 + z^2 = 100 is

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Latest IIT-JEE Aptitude Question SOLUTION: 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 whic

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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 x^2 + y^2 + z^2 = 100 is

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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 x^2 + y^2 + z^2 = 100 is