Question:
\[
\left| \begin{matrix}
x+1 & x+2 & x+4 \\
x+3 & x+5 & x+8 \\
x+7 & x+10 & x+14
\end{matrix} \right|
\]
\[
\left| \begin{matrix}
x+1 & x+2 & x+4 \\
x+3 & x+5 & x+8 \\
x+7 & x+10 & x+14
\end{matrix} \right|
\]
Show Hint
When solving for a determinant, use cofactor expansion or row reduction techniques to simplify the matrix. Check all terms carefully.
Updated On: Dec 11, 2025
- 2
- -4
- 0
- None of the above
Show Solution
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The Correct Option is D
Solution and Explanation
To evaluate the determinant, use cofactor expansion along the first row. After calculation, we find that the determinant does not simplify to any of the options listed. Therefore, the correct answer is (d).
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