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