Let \\omega={\cis}(\frac{2 \\pi}{3})=\cos (\frac{2 \\pi}{3})+i \sin (\frac{2 \\pi}{3}) and f(x)=x^{7}-2 x^{4}-4 x^{3}+8. Which of the following option is correct?

Correct Answer is : {213,213ω,212i,−212} is a subset of the solution set of f(x).

\{2^{\frac{1}{2}}, 2^{\frac{1}{3}}, \\omega, 2^{\frac{1}{3}} \\omega\} is a subset of the solution set of f(x).

\{2^{\frac{1}{2}},-2^{\frac{1}{3}}, 2^{\frac{1}{3}} \\omega^{2}, 2^{\frac{1}{2}} i\} is a subset of the solution set of f(x).

\{2^{\frac{1}{3}}, 2^{\frac{1}{2}},-2^{\frac{1}{2}} i, 2^{\frac{1}{3}} \\omega^{2}\} is not a subset of the solution set of f(x).

\{2^{\frac{1}{3}}, 2^{\frac{1}{3}} \\omega, 2^{\frac{1}{2}} i,-2^{\frac{1}{2}}\} is a subset of the solution set of f(x).

AP EAPCET 23-Aug-2021 Shift 2 Paper

Section: Mathematics

Question : 11 of 160

Marks: +1, -0

Let ω=cis(

2π

)=cos(

2π

)+i‌sin(

2π

) and f(x)=x7−2x4−4x3+8. Which of the following option is correct?

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