If the system of equations x + 2y - 3z = 2, 2x + λ y + 5z = 5, 14x + 3y + μ z = 33 has infinitely many solutions, then λ + μ is equal to:

Matrices and Determinants: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q177

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002

If the system of equations

x + 2y - 3z = 2

2x + \lambda y + 5z = 5

14x + 3y + \mu z = 33

has infinitely many solutions, then

\lambda + \mu

is equal to:

JEE Main 2025 · January, Unspecified (session-level dataset) · Q177

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002

If the system of equations

x + 2y - 3z = 2

2x + \lambda y + 5z = 5

14x + 3y + \mu z = 33

has infinitely many solutions, then

\lambda + \mu

is equal to: