JEE Advanced Mathematics question
If are three consecutive integers then the determinant
\begin{vmatrix} -a^2 & ab & ac \\ ab & -b^2 & bc \\ ac & bc & -c^2 \end{vmatrix}
is divisible by
Answer: (A),(B),(C)
Solution
Take out of :
Δ = abc.
Apply and :
Δ = abc = abc·(-a)(0 - 4bc) = .
Among three consecutive integers one is e
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