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JEE Math Practice Question

If $$\alpha$$ + $$\beta$$ + $$\gamma$$ = 2$$\pi$$, then the system of equations x + (cos $$\gamma$$)y + (cos $$\beta$$)z = 0 (cos $$\gamma$$)x + y + (cos $$\alpha$$)z = 0 (cos $$\beta$$)x + (cos $$\alpha$$)y + z = 0 has :

  1. A.no solution
  2. B.infinitely many solution
  3. C.exactly two solutions
  4. D.a unique solution

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