2x−y+z=45x+λy+3z=12100x−47y+μz=212Δx=Δy=Δz=0Δz=25100−1λ−47412212=0⇒2(212λ+564)+1(1060−1200)⇒424λ+1128−140−940−400λ=0⇒λ=−2Δy=25100−1−2−4713μ=0⇒2(−2μ+141)+1(5μ−300)+1(−235+200)=0⇒μ=53μ−2λ=53−2(−2)=57
If the system of equations … has infinitely many solutions, then\mu-2 \lambda is equal to
JEE Main 2025 — Mathematics Algebra
2025mcqeasy
If the system of equations $\begin{aligned}
& 2 x-y+z=4 \
& 5 x+\lambda y+3 z=12 \
& 100 x-47 y+\mu z=212
\end{aligned}hasinfinitelymanysolutions,then\mu-2 \lambda$ is equal to
Official previous-year question
Held on 24 Jan 2025 · Verified 6 Jul 2026.
Options
- A
57
- B
59
- C
55
- D
56
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