imo class 12 determinants

Evaluate the determinant: |a+b a b; a a+c c; b c b+c|

VAVidaara Admin Asked 6d ago 0 views 0 answers

Evaluate the determinant: |a+b a b; a a+c c; b c b+c|

  • A. 2abc
  • B. 4abc
  • C. 0
  • D. abc

Answer: B) 4abc

Explanation: Apply C₁→C₁−C₂−C₃: |0 a b; −2c a+c c; −2c c b+c|. Further simplification yields 4abc.

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