JEE Main 20204 Sep, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002If A=[cosθisinθisinθcosθ]A = \left[ {\matrix{ {\cos \theta } & {i\sin \theta } \cr {i\sin \theta } & {\cos \theta } \cr } } \right]A=[cosθisinθisinθcosθ], (θ=π24)\left( {\theta = {\pi \over {24}}} \right)(θ=24π) and A5=[abcd]{A^5} = \left[ {\matrix{ a & b \cr c & d \cr } } \right]A5=[acbd], where i=−1i = \sqrt { - 1}i=−1 then which one of the following is not true?AOption A. aaa² - ccc² = 1BOption B. 0≤a2+b2≤10 \le {a^2} + {b^2} \le 10≤a2+b2≤1COption C. aaa² - ddd² = 0DOption D. a2−b2=12{a^2} - {b^2} = {1 \over 2}a2−b2=21CheckSkip · show solution
