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JEE Math Practice Question

If $$A = \left[ {\begin{matrix} {\cos \theta } & { - \sin \theta } \\ {\sin \theta } & {\cos \theta } \\ \end{matrix} } \right]$$, then the matrix A–50 when $$\theta $$ = $$\pi \over 12$$, is equal to :

  1. A.$$\left[ {\begin{matrix} { {{\sqrt 3 } \over 2}} & { - {1 \over 2}} \\ {{{ 1} \over 2}} & {{{\sqrt 3 } \over 2}} \\ \end{matrix} } \right]$$
  2. B.$$\left[ {\begin{matrix} {{1 \over 2}} & -{{{\sqrt 3 } \over 2}} \\ {{{\sqrt 3 } \over 2}} & {{{ - 1} \over 2}} \\ \end{matrix} } \right]$$
  3. C.$$\left[ {\begin{matrix} {{{\sqrt 3 } \over 2}} & {{1 \over 2}} \\ -{{1 \over 2}} & {{{\sqrt 3 } \over 2}} \\ \end{matrix} } \right]$$
  4. D.$$\left[ {\begin{matrix} {{1 \over 2}} & {{{\sqrt 3 } \over 2}} \\ {-{{\sqrt 3 } \over 2}} & {{{ 1} \over 2}} \\ \end{matrix} } \right]$$

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