MCQS

# Complex Numbers MCQS With Solution | Solve Complex Numbers MCQS

21. If z1 = 24 + 7i and |z2| = 6, then the least value of |z1 + z2| is:

A. 31

B. 19

C. −19

D. −13

22. |az+b|/|bz+a| =1, for |z| =?

A. 1

B. 0

C. 2

D. −1

23. Locus of the points satisfying Re(iz) = 3 is:

A. a line parallel to x-axis

B. a line parallel to y-axis

C. a circle

D. a parabola

24. For all integers n, we have:

A. (cos θ + isin θ)^n = cos nθ + isin nθ

B. (cos θ + isin θ)^n = cos nθ − isin nθ

C. (cos θ − isin θ)^n = cos nθ + isin nθ

D. (cos θ + isin θ)^−n = cos nθ + isin nθ

25. The value of ( √3−i/√3+i )^6 is:

A. 0

B. 1/2

C. 1

D. −1

26. For any integers n, we have (sin x + i cos x)^n =

A. sin n( π/2 − x) + i cos n( π/2 − x)

B. cos n( π/2 − x) + isin n( π/2 − x)

C. sin n( π/2 + x) + i cos n( π/2 + x)

D. sin n( π/2 + x) + i cos n( π/2 + x)

27. If x = cos θ + isin θ, then the value of 1/x =

A. cos θ + isin θ

B. sin θ + i cos θ

C. cos θ − isin θ

D. sin θ − i cos θ

28. If x = cos θ + isin θ, then the value of 1/x^n=

A. cos nθ + isin nθ

B. sin nθ + i cos nθ

C. cos nθ − isin nθ

D. sin nθ − i cos nθ

29. If x = cos θ + isin θ, then the value of x^n + 1/x^n=

A. 2isin nθ

B. 2i cos nθ

C. 2 cos nθ

D. 2 sin nθ

See also  Solve Number Theory Mcqs | Number Theory Mcqs with solution

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