Let {S} be the set of all integer solutions, ( {x}, {y}, {z}), of the system of equations x-2 y+5 z=0 -2 x+4 y+z=0 -7 x+14 y+9 z=0 such that 15 \leq {x}^{2}+ {y}^{2}+ {z}^{2} \\leq 150 . Then, the number of elements in the set {S} is equal to _______. [3 Sep 2020 Shift 2]

JEE Mains 03-Sep-2020 Shift 2 Solved Paper

Section: Mathematics

Question : 74 of 75

Marks: +1, -0

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≤x2+y2+z2≤150. Then, the number of elements in the set S is equal to _______.

[3 Sep 2020 Shift 2]

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