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The value of [(1+cos(pi/8)+isin(pi/8))/(...

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

A

0

B

i

C

1

D

-1

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The correct Answer is:
D
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  2. If xr=cos(pi/2^r)+isin(pi/2^r) then x1x2x3.......infty=

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

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

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

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

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

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

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

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

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  11. The number of solution of the system of equations Re(z^2)=0, absz=2 is

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

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

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  14. If z1=a+ib and z2=c+id are complex numbers such that abs(z1)=abs(z2)=1...

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  15. If z1 and z2 be two complex numbers such that abszle1, absz2le1, abs(z...

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  16. If z^4=(z-1)^4, then the roots are represented in the Argand plane by ...

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  17. Let z=1-t+isqrt(t^2+t+2), where t is real parameter. The locus of z in...

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  18. If absz=min{abs(z-1), abs(z+1)}, then

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  19. If z1 and z2 be two complex numbers such that abs(z1+z2)=abs(z1) +abs(...

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  20. if z^2+z+1=0, then the value of (z+1/z)^2+(z^2+1/z^2)^2+(z^3+1/z^3)^2+...

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