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The value of i^100+i^101+i^102+i^103...

The value of `i^100+i^101+i^102+i^103`

A

1

B

i

C

0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  2. the area of the triangle formed by 1, omega, omega^2 where omega be th...

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  3. The value of i^100+i^101+i^102+i^103

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  4. If argzlt0, then arg(-z)-argz is equal to

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  5. If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, then ar...

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  6. The common roots of the equations z^3+2z^2+2z+1=0 and z^1985+z^100+1=0...

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  7. abs(z-6)ltabs(z-2) its solution is given by

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  8. If abs(z^2-1)=absz^2+1, then z lies on

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  9. If xr=cos(pi/2^r)+isin(pi/2^r) then x1x2x3.......infty=

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  10. The value of [(1+cos(pi/8)+isin(pi/8))/(1+cos(pi/8)-isin(pi/8))]^8 is

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  11. The area of the triangle in the complex plane formed by the points z, ...

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  12. The origin and the roots of the equation z^2+pz+q=0 form an equilatera...

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  13. If n is a positive integer, then, (1+isqrt3)^n+(1-isqrt3)^n=

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  14. If absz1=absz2=absz3=1 and z1+z2+z3=0, then z1, z2, z3 are vertices of

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  15. The locus of point z satisfying Re(1/z)=k, where k is a non-zero real ...

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  16. If P represents z=x+iy in the argand plane and abs(z+1-i)=abs(z+i-1) t...

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  17. If alpha/a+beta/b+gamma/c=1+i and a/alpha+b/beta+c/gamma=0, then the v...

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  19. z1, z2, z3 are three points lying on the circle absz=1 , maximum value...

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  20. The system of equations abs(z+1-i)=sqrt2 ,absz=3 has

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