AP EAMCET · Maths · Determinants
The system of equations \(x+2 y+3 z=6, x+3 y+5 z=9\), \(2 x+5 y+\mathrm{a} z=12\) has no solution when \(a=\)
- A 5
- B 6
- C 7
- D 8
Answer & Solution
Correct Answer
(D) 8
Step-by-step Solution
Detailed explanation
\(\because\) For no solution \(\left|\begin{array}{lll}1 & 2 & 3 \\ 1 & 3 & 5 \\ 2 & 5 & a\end{array}\right|=0 \Rightarrow 1(3 a-25)-2(a-10)+3(5-6)=0\) \(\Rightarrow a=8\).
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