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JEE Main2019Maths
Q.

If {\text{A = }}\,\,\left[ {\begin{array}{*{20}{c}} {{\text{cos\,\theta}}}{{\text{ - sin\,\theta}}} \\ {{\text{sin\,\theta}}}{{\text{cos\,\theta}}} \end{array}} \right], then the matrix A–50 when  is equal to :

  1. A

    \left[ {\begin{array}{*{20}{c}} {\dfrac{{\sqrt 3 }}{2}}{\dfrac{1}{2}} \\ { - \dfrac{1}{2}}{\dfrac{{\sqrt 3 }}{2}} \end{array}} \right]\,

  2. B

    \left[ {\begin{array}{*{20}{c}} {\dfrac{1}{2}}{\dfrac{{\sqrt 3 }}{2}} \\ { - \dfrac{{\sqrt 3 }}{2}}{\dfrac{1}{2}} \end{array}} \right]

  3. C

    \left[ {\begin{array}{*{20}{c}} {\dfrac{1}{2}}{ - \dfrac{{\sqrt 3 }}{2}} \\ {\dfrac{{\sqrt 3 }}{2}}{\dfrac{1}{2}} \end{array}} \right]\,

  4. D

    \left[ {\begin{array}{*{20}{c}} {\dfrac{{\sqrt 3 }}{2}}{ - \dfrac{1}{2}} \\ {\dfrac{1}{2}}{\dfrac{{\sqrt 3 }}{2}} \end{array}} \right]\,

Solution

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