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JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
If \(a, b, c\) are sides of a scalene triangle, then the value of \(\left| \begin{array}{*{20}{c}}
a&b&c\\
b&c&a\\
c&a&b
\end{array} \right|\) is
- A non - negative
- B negative
- C positive
- D non-positive
Answer & Solution
Correct Answer
(B) negative
Step-by-step Solution
Detailed explanation
\(\left| {\begin{array}{*{20}{c}} a&b&c\\ b&c&a\\ c&a&b \end{array}} \right| = \left| {\begin{array}{*{20}{c}} {a + b + c}&{a + b + c}&{a + b + c}\\ b&c&a\\ c&a&b \end{array}} \right|\) \( = \left( {a + b + c} \right)\begin{array}{*{20}{c}} 1&1&1\\ b&c&a\\ c&a&b \end{array}\)…
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