If A = [\table \cos\theta,-\sin\theta;\sin\theta,\cos\theta] , then the matrix A^{-50} when θ = \pi/{12} , is equal to : [9-Jan-2019 Shift 1]

Correct Answer is : [√3212−12√32]

[\table \sqrt3/2,1/2;-1/2,\sqrt3/2]

\table 1/2,\sqrt3/2;-\sqrt3/2,1/2

\table 1/2,-\sqrt3/2;\sqrt3/2,1/2

[\table \sqrt3/2,-1/2;1/2,\sqrt3/2]

JEE Main 9 Jan 2019 Shift 1 Solved Paper

Section: Mathematics

Question : 52 of 90

Marks: +1, -0

If A = [

cosθ	−sinθ
sinθ	cosθ

] , then the matrix A−50 when θ =

, is equal to :

[9-Jan-2019 Shift 1]

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cos(nθ)	sin(nθ)
−sin(nθ)	cos(nθ)

cos(50)θ	sin(50)θ
−sin(50)θ	cos(50)θ