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Suppose `A` is a complex number and `n in N ,` such that `A^n=(A+1)^n=1,` then the least value of `n` is `3` b. `6` c. `9` d. `12`

A

3

B

6

C

9

D

18

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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -SOLVED EXAMPLES LEVEL 1
  1. The number of complex numbers z which satisfy z^(2) + 2|z|^(2) = 2 is

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  2. Suppose a in R and the equation z + a|z| + 2i = 0 has no solution in C...

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  3. Suppose A is a complex number and n in N , such that A^n=(A+1)^n=1, t...

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  4. Let z!=i be any complex number such that (z-i)/(z+i) is a purely imagi...

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  5. The point z(1),z(2),z(3),z(4) in the complex plane are the vertices o...

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  6. if the complex no z1 , z2 and z3 represents the vertices of an equ...

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  7. sum(k=1)^6 (sin,(2pik)/7 -icos, (2pik)/7)=?

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  8. The complex number sin(x)+icos(2x) and cos(x)-isin(2x) are conjugate t...

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  9. If z1 and z2 are two complex number and a, b, are two real number then...

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  10. a and b are real numbers between 0 and 1 such that the points z1 =a+ i...

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  11. If z ne 0 be a complex number and "arg"(z)=-pi//4, then

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  12. Let za n dw be two non-zero complex number such that |z|=|w| and a r g...

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  13. If |z|=1 and omega=(z-1)/(z+1) (where z in -1), then Re(omega) is

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  14. Let z and w be two complex numbers such that |Z| <= 1, |w|<=1 and |z -...

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  15. The complex numbers z = x + iy which satisfy the equation |(z-5i)/(z+5...

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  16. The inequality |z-4| lt |z-2| represents

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  17. If z1 and z2 are two complex numbers such that |(z1-z2)/(z1+z2)|=1, th...

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  18. For any complex number z , find the minimum value of |z|+|z-2i|dot

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  19. If x=2+ 5i then the value of x^3-5x^2+33x-19 is

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  20. If z=x+iy and w=(1-iz)/(z-i), then |w|=1 implies that in the complex ...

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