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If alpha=e^(i2pi//7)a n df(x)=a0+sum(k=0...

If `alpha=e^(i2pi//7)a n df(x)=a_0+sum_(k=0)^(20)a_k x^k ,` then prove that the value of `f(x)+f(alpha x)+....+f(alpha^6x)` is independent of `alphadot`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible i...

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  3. If alpha=e^(i2pi//7)a n df(x)=a0+sum(k=0)^(20)ak x^k , then prove that...

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  4. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

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  7. Let omega=-1/2+i(sqrt(3))/2dot Then the value of the determinant |1 1 ...

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  8. All the value of k for which the quadratic polynomial f(x)=2x^2+k x+2=...

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  9. ifa=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose ...

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

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  11. If |z/| barz |- barz |=1+|z|, then prove that z is a purely imaginary ...

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  12. If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

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  14. The value of i^(1+3+5+.....+(2n+1)) is.

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  15. a ,b , c are integers, not all simultaneously equal, and omega is cube...

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