JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
If the system of equations \( 2 x+7 y+\lambda z=3 \) \( 3 x+2 y+5 z=4 \) \( x+\mu y+32 z=-1\) has infinitely many solutions, then \((\lambda-\mu)\) is equal to
- A \(38\)
- B \(39\)
- C \(34\)
- D \(15\)
Answer & Solution
Correct Answer
(A) \(38\)
Step-by-step Solution
Detailed explanation
\(\mathrm{D}=\mathrm{D}_1=\mathrm{D}_2=\mathrm{D}_3=0\) \(D_3=\left|\begin{array}{ccc}2 & 7 & 3 \\ 3 & 2 & 4 \\ 1 & \mu & -1\end{array}\right|=0 \Rightarrow \mu=-39\)…
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