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. ā19

D. ā13

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

A. 1

B. 0

C. 2

D. ā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 Īø + isin Īø)^n = cos nĪø + isin nĪø

B. (cos Īø + isin Īø)^n = cos nĪø ā isin nĪø

C. (cos Īø ā isin Īø)^n = cos nĪø + isin nĪø

D. (cos Īø + isin Īø)^ān = cos nĪø + isin nĪø

25. The value of ( ā3āi/ā3+i )^6 is:

A. 0

B. 1/2

C. 1 ā

D. ā1

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

A. sin n( Ļ/2 ā x) + i cos n( Ļ/2 ā x)

B. cos n( Ļ/2 ā x) + isin n( Ļ/2 ā x)

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

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

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

A. cos Īø + isin Īø

B. sin Īø + i cos Īø

C. cos Īø ā isin Īø

D. sin Īø ā i cos Īø

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

A. cos nĪø + isin nĪø

B. sin nĪø + i cos nĪø

C. cos nĪø ā isin nĪø

D. sin nĪø ā i cos nĪø

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

A. 2isin nĪø

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B. 2i cos nĪø

C. 2 cos nĪø

D. 2 sin nĪø