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JEE Math Practice Question

Let $$\theta = {\pi \over 5}$$ and $$A = \left[ {\begin{matrix} {\cos \theta } & {\sin \theta } \\ { - \sin \theta } & {\cos \theta } \\ \end{matrix} } \right]$$. If B = A + A4 , then det (B) :

  1. A.lies in (1, 2)
  2. B.lies in (2, 3).
  3. C.is zero.
  4. D.is one.

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