imo class 12 determinants

If |x x+1 x+2; x+2 x x+1; x+1 x+2 x| = 0, then x equals:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If |x x+1 x+2; x+2 x x+1; x+1 x+2 x| = 0, then x equals:

  • A. −1
  • B. 0
  • C. any real number
  • D. 1

Answer: C) any real number

Explanation: Sum of rows = 3x+3 each. Taking common, all rows become identical after operations, determinant=0 for all x.

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