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GUJCET · Maths · Determinants
If \(k=p+q+r\) then the value of \(\left|\begin{array}{ccc}k+r & p & q \\ r & k+p & q \\ r & p & k+q\end{array}\right|\) is equal to _________.
- A \(2 k^2\)
- B \(2 k^3\)
- C \(k^3\)
- D \(3 k^2\)
Answer & Solution
Correct Answer
(B) \(2 k^3\)
Step-by-step Solution
Detailed explanation
\(\left|\begin{array}{ccc}k+r & p & q \\ r & k+p & q \\ r & p & k+q\end{array}\right|\) \(C_1 \to C_1 + C_2 + C_3\)
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