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

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

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z1, z2, z3, z4 are the affixes of four point in the Argand plane, z...

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

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

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

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

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

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

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

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

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  10. If z^3+(3+2i)z+(-1+i a)=0 has one real root, then the value of a lies ...

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  11. Determine the value of k for which x+2 is a factor of (x+1)^7+(2x+k)^3...

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  12. Find the complex number z satisfying R e(z^2) =0,|z|=sqrt(3.)

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  13. P(z1),Q(z2),R(z3)a n dS(z4) are four complex numbers representing the ...

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  14. Given that the expression 2x^3+3p x^2-4x+p has a remainder of 5 when d...

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  15. z1a n dz2 are two distinct points in an Argand plane. If a|z1|=b|z2|(w...

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  16. Consider two complex numbers alpha and beta as alpha=[(a+b i)//(a-b i)...

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  17. In how many points the graph of f(x)=x^3+2x^2+3x+4 meets the x-axis ...

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  18. If x^2+x+1=0 then the value of (x+1/x)^2+(x^2+1/(x^2))^2+...+(x^27+1/(...

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  19. If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that (a^2+b^2)(c^2+d^2)(e^...

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  20. Find the roots of the equation x+1/x=3

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