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Black Book Advanced Problems in MathematicsMathematicsDeterminants

The number of distinct real values of K such that the system of equations x + 2y + z = 1, x + 3y + 4z = K, x + 5y + 10z = K^2 has infinitely many solutions is:

Options

  1. A0
  2. B4
  3. C2
  4. D3

Correct answer

C. 2

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