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Matrices and Determinants question

2020 · 4 Sep · Shift 1 · Q31
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  5. /2020 · 4 Sep · Shift 1 · Q31

Matrices and Determinants question

2020 · 4 Sep · Shift 1 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If A=[cos⁡θisin⁡θisin⁡θcos⁡θ]A = \left[ {\begin{matrix} {\cos \theta } & {i\sin \theta } \\ {i\sin \theta } & {\cos \theta } \\ \end{matrix} } \right]A=[cosθisinθ​isinθcosθ​], (θ=π24)\left( {\theta = {\pi \over {24}}} \right)(θ=24π​) and A5=[abcd]{A^5} = \left[ {\begin{matrix} a & b \\ c & d \\ \end{matrix} } \right]A5=[ac​bd​], where i=−1i = \sqrt { - 1}i=−1​ then which one of the following is not true?
  1. A
    aaa 2 - ccc 2 = 1
  2. B
    0≤a2+b2≤10 \le {a^2} + {b^2} \le 10≤a2+b2≤1
  3. C
    aaa 2 - ddd 2 = 0
  4. D
    a2−b2=12{a^2} - {b^2} = {1 \over 2}a2−b2=21​
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