TS EAMCET · Maths · Determinants
If \(f(x)=\left|\begin{array}{ccc}x & x+1 & x+3 \\ x+2 & x+4 & x+7 \\ x+6 & x+9 & x+13\end{array}\right|\), then \(f(5)=\)
- A -15
- B 10
- C -2
- D 0
Answer & Solution
Correct Answer
(C) -2
Step-by-step Solution
Detailed explanation
Given \(f(x)=\left|\begin{array}{ccc}x & x+1 & x+3 \\ x+2 & x+4 & x+7 \\ x+6 & x+9 & x+13\end{array}\right|\) Put \(x=5\) in \(f(x)\) \[ f(5)=\left|\begin{array}{ccc} 5 & 6 & 8 \\ 7 & 9 & 12 \\ 11 & 14 & 18 \end{array}\right| \] Expand w.r.t. .... \(\mathrm{R}_1\).…
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