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JEE Math Practice Question

Let $$\lambda \in $$ R . The system of linear equations 2x1 - 4x2 + $$\lambda $$x3 = 1 x1 - 6x2 + x3 = 2 $$\lambda $$x1 - 10x2 + 4x3 = 3 is inconsistent for:

  1. A.exactly one positive value of $$\lambda $$
  2. B.exactly one negative value of $$\lambda $$
  3. C.exactly two values of $$\lambda $$
  4. D.every value of $$\lambda $$

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