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Class 12 Determinants · Mcq Single Correct1 Marksdeterminant_properties

Class 12 Maths · Determinants · Mcq Single Correct #3

Let f(x)=\(\begin{vmatrix}0 & x−a & x−b\\x+a & 0 & x−c\\x+b & x+c & 0\end{vmatrix}\). Which equality holds for every real a,b,c?

✅ Step-by-Step Solution

Final Answer: Option (C): f(0)=0
  1. At x=0 the matrix is real skew-symmetric of odd order, so its determinant is zero. The other proposed equalities need not hold for arbitrary parameters.

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