If the system of equations 2x+λy+3z=5, 3x+2y−z... | Matrices and Determinants | JEE Main

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JEE MAIN 2025

02-04-2025 S2

Question

If the system of equations $$ \begin{aligned} & 2 x+\lambda y+3 z=5 \\ & 3 x+2 y-z=7 \\ & 4 x+5 y+\mu z=9 \end{aligned} $$ has infinitely many solutions, then $\left(\lambda^2+\mu^2\right)$ is equal to

Select the correct option:

A

26

B

18

C

22

D

30

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