JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
If the system of equations \(x+2 y+3 z=3\) ; \(4 x+3 y-4 z=4\) ; \(8 x+4 y-\lambda z=9+\mu\) has infinitely many solutions, then the ordered pair \((\lambda, \mu)\) is equal to
- A \(\left(\frac{72}{5}, \frac{21}{5}\right)\)
- B \(\left(\frac{-72}{5}, \frac{-21}{5}\right)\)
- C \(\left(\frac{72}{5}, \frac{-21}{5}\right)\)
- D \(\left(\frac{-72}{5}, \frac{21}{5}\right)\)
Answer & Solution
Correct Answer
(C) \(\left(\frac{72}{5}, \frac{-21}{5}\right)\)
Step-by-step Solution
Detailed explanation
\(x+2 y+3 z=3\) \(4 x+3 y-4 z=4\) \(8 x+4 y-\lambda z=9+\mu \quad \ldots \ldots . \text { (iii) }\) \(\text { (i) } \times 4-\text { (ii) } \Rightarrow 5 y+16 z=8 \ldots \ldots \text { (iv) }\)…
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