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JEE Math Practice Question

The number of values of $$\theta $$ $$ \in $$ (0, $$\pi $$) for which the system of linear equations x + 3y + 7z = 0 $$-$$ x + 4y + 7z = 0 (sin3$$\theta $$)x + (cos2$$\theta $$)y + 2z = 0. has a non-trival solution, is -

  1. A.two
  2. B.one
  3. C.four
  4. D.three

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