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Matrices and Determinants question

2019 · 9 Jan · Shift 1 · Q24
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  5. /2019 · 9 Jan · Shift 1 · Q24

Matrices and Determinants question

2019 · 9 Jan · Shift 1 · Q24

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If A=[cos⁡θ−sin⁡θsin⁡θcos⁡θ]A = \left[ {\begin{matrix} {\cos \theta } & { - \sin \theta } \\ {\sin \theta } & {\cos \theta } \\ \end{matrix} } \right]A=[cosθsinθ​−sinθcosθ​], then the matrix A–50 when θ\thetaθ=π12\pi \over 1212π​, is equal to :
  1. A
    [32−121232]\left[ {\begin{matrix} { {{\sqrt 3 } \over 2}} & { - {1 \over 2}} \\ {{{ 1} \over 2}} & {{{\sqrt 3 } \over 2}} \\ \end{matrix} } \right][23​​21​​−21​23​​​]
  2. B
    [12−3232−12]\left[ {\begin{matrix} {{1 \over 2}} & -{{{\sqrt 3 } \over 2}} \\ {{{\sqrt 3 } \over 2}} & {{{ - 1} \over 2}} \\ \end{matrix} } \right][21​23​​​−23​​2−1​​]
  3. C
    [3212−1232]\left[ {\begin{matrix} {{{\sqrt 3 } \over 2}} & {{1 \over 2}} \\ -{{1 \over 2}} & {{{\sqrt 3 } \over 2}} \\ \end{matrix} } \right][23​​−21​​21​23​​​]
  4. D
    [1232−3212]\left[ {\begin{matrix} {{1 \over 2}} & {{{\sqrt 3 } \over 2}} \\ {-{{\sqrt 3 } \over 2}} & {{{ 1} \over 2}} \\ \end{matrix} } \right][21​−23​​​23​​21​​]
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