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JEE Math Practice Question

An ordered pair ($$\alpha $$, $$\beta $$) for which the system of linear equations (1 + $$\alpha $$) x + $$\beta $$y + z = 2 $$\alpha $$x + (1 + $$\beta $$)y + z = 3 $$\alpha $$x + $$\beta $$y + 2z = 2 has a unique solution, is :

  1. A.(–3, 1)
  2. B.(1, –3)
  3. C.(–4, 2)
  4. D.(2, 4)

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