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For any integer n, the argument of ((sqr...

For any integer n, the argument of `((sqrt3+i)^(4n+1))/((1-isqrt3)^(4n))`

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FIITJEE-COMPLEX NUMBER-ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I
  1. For any integer n, the argument of ((sqrt3+i)^(4n+1))/((1-isqrt3)^(4n)...

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  2. Let z1, z2, …...zn be a sequence of complex numbers defined by z1=-1-i...

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  3. The complex numbers z and w satisfy the system z+(20i)/(w)= 5+i, w+(12...

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  4. If a and b are two real number lying between 0 and 1 such that z1=a+i,...

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  5. If z= 5e^(itheta), then |e^(iz)| is equal to

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  6. The complex number satisfying |z+bar(z)|+|z - bar(z)|=2 and |z+i|+|z-i...

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  7. Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coeffi...

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  8. If z1 and z2 are two complex numbers, then the equation of the perpend...

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  9. If z= x+iy satisfies the equation arg (z-2)="arg" (2z+3i), then 3x-4y ...

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  10. If alpha = x + y + z + omega and beta = (xy + yz + zomega + omega x + ...

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  11. If P and Q are represented by the complex numbers z1 and z2 such that...

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

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  13. For any complex number z, maximum value of |z|-|z-1| is

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  14. If infty(a(1)+ib(1))(a(2)+ib(2))………………(a(n)+ib(n))=A+iB, then sum(i=1)...

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  15. The value of the expression 2(1+(1)/(omega))(1+(1)/(omega^(2)))+3(2+(1...

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  16. If z= x+iy , z^(1//3) = a- ib and (x)/(a) - (y)/(b) = lambda (a^(y) -...

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  17. If z= (1)/(2) (sqrt3 -i), then the least positive integral value of ...

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  18. The value of the expression 2(1+(1)/(omega))(1+(1)/(omega^(2)))+3(2+(1...

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  19. If w = alpha+ibeta, where beta ne 0 and z ne 1, satisfies the condit...

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  20. If |z-i| lt 1, then the value of |z + 12-6i| is less than

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