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For any integer k , let alphak=cos(kpi)/...

For any integer `k ,` let `alpha_k=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt(-1)dot` Value of the expression `(sumk=1 12|alpha_(k+1)-alpha_k|)/(sumk=1 3|alpha_(4k-1)-alpha_(4k-2)|)` is

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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

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  2. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

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  3. The set {R e((2i z)/(1-z^2)): z is a complex number,|z|=1,z=+-1} is.

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  4. The maximum value of |ar g(1/(1-z))| for |z|=1 ,z!=1 is given by

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  5. Find the value of 3^4

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  6. Let alpha and beta be real numbers and z be a complex number. If z^(2...

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  7. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

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  8. Let z be a complex number such that the imaginary part of z is nonz...

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  9. If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the...

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  10. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

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  11. What is 3% Equals to

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  12. Express in the form of complex number if z=i^(-39)

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  13. Express in the form of complex number (1-i)^4

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  14. If z is a complex number such that |z|geq2 , then the minimum value ...

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  15. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

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  16. Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2...

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  17. For any integer k , let alphak=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt...

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  18. What is 4% Equals to

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  19. If the equation z^(3)+(3+i)z^(2)-3z-(m+i)=0, " where " i=sqrt(-1) " an...

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  20. Let omega be a complex number such that 2omega+1=z where z=sqrt(-3). I...

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