imo class 12 determinants

The determinant |1 log_b a; log_a b 1| equals:

VAVidaara Admin Asked 1mo ago 0 views 0 answers
#IMO#Class 12#Mathematics#Determinants#mathematical-reasoning

The determinant |1 log_b a; log_a b 1| equals:

  • A. 0
  • B. 1
  • C. 2
  • D. −1

Answer: A) 0

Explanation: log_b a × log_a b = 1. So determinant = 1×1 − (log_b a)(log_a b) = 1 − 1 = 0.

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