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The least positive integer n such that (...

The least positive integer `n` such that `((2i)/(1+i))^n` is a positive integer is a. `16` b. `8` c. `4` d. `2`

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RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
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  2. The principal value of the amplitude of (1+i) is A. pi B. pi/(12) C...

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  3. The least positive integer n such that ((2i)/(1+i))^n is a positive in...

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  4. If z is a non zero complex, number then |(|barz |^2)/(z barz )| is eq...

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  5. If a=1+i , then a^2 equals A. 1-i B. 2i C. (1+i)(1-i) D. (i-1)

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  6. If (x+i y)^(1//3)=a+i b ,\ then\ x/a+y/b is a. 0 b. 1 c. -1 d. none o...

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  7. (sqrt(-2))(sqrt(-3)) is equal to A. sqrt(6) B. -sqrt(6) C. isqrt(6)...

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  8. The argument of (1-isqrt(3))/(1+isqrt(3)) is a. 60^@ b. 120^@ c. 210^@...

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  9. If z=((1+i)/(1-i)), then z^4 equals to

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  10. If z=(1+2i)/(1-(1-i)^2), then arg(z) equals a. 0 b. pi/2 c. pi ...

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  11. If z=1/((2+3i)^2), then |z| is (a). 1/13 (b) . 1/5 (c) . 1...

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  12. If z=1/((1-i)(2+3i)), then |z| is (a). 1 (b). 1/sqrt(26) (c). 5...

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  13. If z=1-costheta+isintheta,\ t h e n\ |z| is equal to a. 2sin(theta/2)...

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  14. If x+i y=(1+i)(1+2i)(1+3i),\ t h e n\ x^2+y^2 is: (a). 0 (b). 1 (c). 1...

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  15. If z=1/(1-cos theta-i sin theta), then Re(z) is a. 0 b. 1/2 c. c...

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  18. The argument of (1-i)/(1+i) is a. -pi/2 b. pi/2 c. (3pi)/2 d....

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  19. The amplitude of (1+isqrt(3))/(sqrt(3)+i) is a. pi/3 b. -pi/3 c. pi/6 ...

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  20. (1+2i+3i^2)/(1-2i+3i^2) equals a. i b. -1 c. -i d. 4

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