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The value of z satisfying the equation l...

The value of `z` satisfying the equation `logz+logz^2+dot+logz^n=0 i s` `(a) cos(4mpi)/(n(n+1))+isin(4mpi)/(n(n+1)),m=0,1,2...` `(b) cos(4mpi)/(n(n+1))-isin(4mpi)/(n(n+1)),m=0,1,2...` `(c) sin(4mpi)/(n(n+1))+isin(4mpi)/(n(n+1)),m=0,1,2,...` (d) 0

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If alpha,beta are the roots of the equation a x^2+b x+c=0, then find t...

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  2. If (pi)/2 < alpha < (3pi)/2 then the modulus argument of (1+cos 2alpha...

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  3. The value of z satisfying the equation logz+logz^2+dot+logz^n=0 i s ...

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  4. If the difference between the roots of the equation x^2+a x+1=0 is les...

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  5. find the differtiation of sin(tanx)

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  6. Roots of the equation are (z+1)^5=(z-1)^5 are (a) +-itan(pi/5),+-ita...

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  7. Find the value of a for which one root of the quadratic equation (a^2-...

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  8. If |z1-z0|=|z2-z0|=a and amp((z2-z0)/(z0-z1))=pi/2 , then find z0

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  9. Which of the following represents a points in an Argand pane, equidi...

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  10. If the harmonic mean between roots of (5+sqrt(2))x^2-b x+8+2sqrt(5)=0i...

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  11. If n in N >1 , then the sum of real part of roots of z^n=(z+1)^n is...

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  12. If z1, z2, z3, z4 are the affixes of four point in the Argand plane, z...

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  13. Find the values of the parameter a such that the rots alpha,beta of ...

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  14. Solve the equation z^3= z (z!=0)dot

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  15. If z=omega,omega^2 where omega is a non-real complex cube root of unit...

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  16. Let alphaa n dbeta be the solutions of the quadratic equation x ^2-11...

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  17. If ((1+i)/(1-i))^m=1, then find the least positive integral value of m...

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  18. If 1,Z1,Z2,Z3,........Z(n-1) are n^(th) roots of unity then the value...

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  19. If a ,b ,c in R^+and 2b=a+c , then check the nature of roots of equat...

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  20. If z is a complex number such taht z^2=( barz)^2, then find the loc...

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