Given a, b, c are in A.P. Then determinant | array lll x+1 & x+2 & x+a x+2 & x+3 & x+b…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

Given a, b, c are in A.P. Then determinant
\[\left|\begin{array}{lll} x+1 & x+2 & x+a \\ x+2 & x+3 & x+b \\ x+3 & x+4 & x+c \end{array}\right|\] in its simplied form is :
  1. x3 + 3ax + 7c
  2. 0
  3. 15
  4. 10x2 + 5x + 2c

Answer

(B) 0

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