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Permutations and Combinations question

2009 · Shift 2 · Q31

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PYQ Library
JEE Advanced
Mathematics
Permutations and Combinations
2009 · Shift 2 · Q31

Permutations and Combinations question

2009 · Shift 2 · Q31

JEE AdvancedMathematicsPermutations and CombinationsNumerical+3 / −1

Let

\left( {x,\,y,\,z} \right)

be points with integer coordinates satisfying the system of homogeneous equation:

\begin{matrix} {3x - y - z = 0} \\ { - 3x + z = 0} \\ { - 3x + 2y + z = 0} \\ \end{matrix}

Then the number of such points for which

x^2 + {y^2} + {z^2} \le 100

is

Numerical answer

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