TS EAMCET · Maths · Determinants
If \(\left|\begin{array}{ccc}9 & 25 & 16 \\ 16 & 36 & 25 \\ 25 & 49 & 36\end{array}\right|=\mathrm{K}\), then \(\mathrm{K}, \mathrm{K}+1\) are the roots of the equation
- A \(x^2-13 x+42=0\)
- B \(x^2-15 x+56=0\)
- C \(x^2-19 x+90=0\)
- D \(x^2-17 x+72=0\)
Answer & Solution
Correct Answer
(D) \(x^2-17 x+72=0\)
Step-by-step Solution
Detailed explanation
\( \mathrm{K} = \left|\begin{array}{ccc}9 & 25 & 16 \\ 16 & 36 & 25 \\ 25 & 49 & 36\end{array}\right| \) \( \mathrm{C}_2 \leftarrow \mathrm{C}_2 - \mathrm{C}_3 \) \( \mathrm{K} = \left|\begin{array}{ccc}9 & 9 & 16 \\ 16 & 11 & 25 \\ 25 & 13 & 36\end{array}\right| \)…
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