jee_main_2025_07_april_evening - Matrices and Determinants Topics

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QUESTION #69 System of Linear Equations
Let the system of equations x + 5 y - z = 1 4 x + 3 y - 3 z = 7 2 4 x + y + λ z = μ λ, μ in R, have infinitely many solutions. Then the number of the solutions of this system, If x, y, z are integers and satisfy 7 ≤ x + y + z ≤ 77, is
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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