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 _ _ _.

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 3 Sep, Evening shift · Q29

JEE Main 20203 Sep, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

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 ______ .

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2020 Matrices and Determinants Question with Answer (3 Sep Evening shift, Q29) | JEE Arc

JEE Main 2020 · 3 Sep, Evening shift · Q29

JEE Main 20203 Sep, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

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 ______ .

Your answerType your answer. Integers and decimals are accepted.