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Matrices and Determinants question

2020 · 3 Sep · Shift 2 · Q28

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JEE Main
Mathematics
Matrices and Determinants
2020 · 3 Sep · Shift 2 · Q28

Matrices and Determinants question

2020 · 3 Sep · Shift 2 · Q28

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let S be the set of all integer solutions, (x, y, z), of the system of equations x – 2y + 5z = 0 –2x + 4y + z = 0 –7x + 14y + 9z = 0 such that 15

\le

x2 + y2 + z2

\le

150. Then, the number of elements in the set S is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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