JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Let \(\lambda, \mu \in R\). If the system of equations \( 3 x+5 y+\lambda z=3 \) \( 7 x+11 y-9 z=2 \) \( 97 x+155 y-189 z=\mu\) has infinitely many solutions, then \(\mu+2 \lambda\) is equal to :
- A \(25\)
- B \(24\)
- C \(27\)
- D \(22\)
Answer & Solution
Correct Answer
(A) \(25\)
Step-by-step Solution
Detailed explanation
\( 3 x+5 y+\lambda z=3 \) \( 7 x+11 y-9 z=2 \) \( 97 x+155 y-189 z=\mu \) \( 93 x+155 y+31 \lambda z=93 \) \( 97 x+155 y-189 z=\mu \) \( -\quad-\quad+\quad- \) \( -4 x+(31 \lambda+189) z=93-\mu \) \( 1085 x+1705 y-1395 z=310 \) \( 1067 x+1705 y-2079 z=11 \mu \)…
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