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JEE Math Practice Question

Let [$$\lambda$$] be the greatest integer less than or equal to $$\lambda$$. The set of all values of $$\lambda$$ for which the system of linear equations x + y + z = 4, 3x + 2y + 5z = 3, 9x + 4y + (28 + [$$\lambda$$])z = [$$\lambda$$] has a solution is :

  1. A.R
  2. B.($$-$$$$\infty$$, $$-$$9) $$\cup$$ ($$-$$9, $$\infty$$)
  3. C.[$$-$$9, $$-$$8)
  4. D.($$-$$$$\infty$$, $$-$$9) $$\cup$$ [$$-$$8, $$\infty$$)

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