Explore topic-wise MCQs in Complex Numbers Question and Answers DeMoivres Theorem.

This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Complex Numbers Question and Answers DeMoivres Theorem knowledge and support exam preparation. Choose a topic below to get started.

1.

Evaluate ( frac{(1+ sqrt 3 i) ^{16}}{( sqrt 3-i) ^{17}} ).

A. ( frac{1}{2} (cos frac{ pi}{6}+isin frac{ pi}{6}) )
B. ( frac{1}{3} (cos frac{ pi}{6}+isin frac{ pi}{6}) )
C. ( frac{1}{2} (cos frac{ pi}{3}+isin frac{ pi}{3}) )
D. ( frac{1}{4} (cos frac{ pi}{6}+isin frac{ pi}{6}) )
Answer» B. ( frac{1}{3} (cos frac{ pi}{6}+isin frac{ pi}{6}) )
Discussion
2.

If (a= frac{1}{ sqrt 2}+ frac{i}{ sqrt 2} ), find the value of a5 + conjugate of a5=?

A. (cos u2061 frac{3 pi}{4} )
B. (2 sin u2061 frac{5 pi}{4} )
C. (2 cos frac{5 pi}{4} )
D. (cos frac{5 pi}{4} )
Answer» D. (cos frac{5 pi}{4} )
Discussion
3.

Find the value of (1-i)100.

A. 2<sup>100</sup> (cos u2061100 -isin100 )
B. 2<sup>100</sup> (cos u206125 -isin25 )
C. 2<sup>50</sup> (cos u206125 -isin25 )
D. 2<sup>50</sup> (cos u2061100 -isin100 )
Answer» D. 2<sup>50</sup> (cos u2061100 -isin100 )
Discussion
4.

Find the value of (1+i)100.

A. 2<sup>100</sup> (cos u2061100 +isin100 )
B. 2<sup>100</sup> (cos u206125 +isin25 )
C. 2<sup>50</sup> (cos u2061100 +isin100 )
D. 2<sup>50</sup> (cos u206125 +isin25 )
Answer» E.
Discussion