If the system of equations 2x + λ y + 3z = 5 3x + 2y - z = 7 4x + 5y + μ z = 9 has infinitely many solutions, then (λ² + μ²) is equal to:

Matrices and Determinants: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q8

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

If the system of equations \\

2x + \lambda y + 3z = 5

3x + 2y - z = 7

4x + 5y + \mu z = 9

\\ has infinitely many solutions, then

(\lambda^2 + \mu^2)

is equal to:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q8

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

If the system of equations \\

2x + \lambda y + 3z = 5

3x + 2y - z = 7

4x + 5y + \mu z = 9

\\ has infinitely many solutions, then

(\lambda^2 + \mu^2)

is equal to: