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AP EAMCET · Maths · Determinants

Investigate the values of \(\lambda\) and \(\mu\) for the system \(x+2 y+3 z=6, x+3 y+5 z=9\), \(2 x+5 y+\lambda z=\mu\) and match the values in List - I with the items in List - II.

  1. A \(\begin{array}{lll}A & B & C \\ 1 & 2 & 3 \end{array}\)
  2. B \(\begin{array}{lll}A & B & C \\ 3 & 1 & 2 \end{array}\)
  3. C \(\begin{array}{lll}A & B & C \\ 2 &3 &1 \end{array}\)
  4. D \(\begin{array}{lll}A & B & C \\ 3 &2 &1 \end{array}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\begin{array}{lll}A & B & C \\ 3 & 1 & 2 \end{array}\)

Step-by-step Solution

Detailed explanation

Given system of linear equations is \(\begin{aligned} x+2 y+3 z & =6 \\ x+3 y+5 z & =9 \\ \text { and } \quad 2 x+5 y+\lambda z & =\mu \end{aligned}\) Now, according to Cramer's rule,…