AP EAMCET · Maths · Quadratic Equation
If \(A=\left[\begin{array}{lll}2 & 3 & 4 \\ 1 & k & 2 \\ 4 & 1 & 5\end{array}\right]\) is singular matrix, then the quadratic equation having the roots \(k\) and \(\frac{1}{k}\) is
- A \(6 x^2+13 x+6=0\)
- B \(12 x^2-25 x+12=0\)
- C \(6 x^2-13 x+6=0\)
- D \(2 x^2-5 x+2=0\)
Answer & Solution
Correct Answer
(C) \(6 x^2-13 x+6=0\)
Step-by-step Solution
Detailed explanation
\(\left|\begin{array}{lll}2 & 3 & 4 \\ 1 & k & 2 \\ 4 & 1 & 5\end{array}\right|=0\) \(\begin{aligned} & \Rightarrow 2(5 k-2)-3 \times(-3)+4(1-4 k)=0 \\ & \Rightarrow k=\frac{3}{2} \end{aligned}\) Required quadratic equation…
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