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Matrices and Determinants question

2025 · 2 Apr · Shift 2 · Q30
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  5. /2025 · 2 Apr · Shift 2 · Q30

Matrices and Determinants question

2025 · 2 Apr · Shift 2 · Q30

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If the system of equations 2x+λy+3z=53x+2y−z=74x+5y+μz=9\begin{aligned} & 2 x+\lambda y+3 z=5 \\ & 3 x+2 y-z=7 \\ & 4 x+5 y+\mu z=9 \end{aligned}​2x+λy+3z=53x+2y−z=74x+5y+μz=9​ has infinitely many solutions, then (λ2+μ2)\left(\lambda^2+\mu^2\right)(λ2+μ2) is equal to :
  1. A
    30
  2. B
    26
  3. C
    22
  4. D
    18
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