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MathsJEE Main 8 Apr 2026, Shift 2·Q3·MCQ·Easy–moderate

Matrices & Determinants · Consistency of linear equations

If the system of linear equations:
x+y+z=6,x+2y+5z=10,2x+3y+λz=μ\begin{align*} x + y + z &= 6,\\ x + 2y + 5z &= 10,\\ 2x + 3y + \lambda z &= \mu \end{align*}
has infinitely many solutions, then the value of λ+μ\lambda + \mu equals.
  1. (1)12
  2. (2)16
  3. (3)22
  4. (4)28

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