imo class 12 determinants

The system x + 2y = 3, 2x + ky = 6 has infinitely many solutions when k equals:

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The system x + 2y = 3, 2x + ky = 6 has infinitely many solutions when k equals:

  • A. 2
  • B. 4
  • C. 1
  • D. 6

Answer: B) 4

Explanation: For infinite solutions: 1/2 = 2/k = 3/6. From 1/2 = 2/k → k=4. Check: 3/6=1/2 matches.

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