imo class 12 determinants

Evaluate: |sin²x cos²x 1; cos²x sin²x 1; −10 12 2|

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#IMO#Class 12#Mathematics#Determinants#logical-reasoning

Evaluate: |sin²x cos²x 1; cos²x sin²x 1; −10 12 2|

  • A. 0
  • B. 1
  • C. 2
  • D. −2

Answer: A) 0

Explanation: C₁ → C₁ + C₂ gives |1 cos²x 1; 1 sin²x 1; 2 12 2|. First and third columns are identical, so determinant is 0.

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