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show that ((-1+isqrt(3))/(2))^(5)+((-1-i...

show that `((-1+isqrt(3))/(2))^(5)+((-1-isqrt(3))/(2))^(5)=-1`

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PREMIERS PUBLISHERS-COMPLEX NUMBERS-Problem for practice
  1. Find the odd one out .

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  2. (1 + e^(-i theta))/(1 + e^(i theta))=

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  3. Match the following Column I to Column II

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  4. choose the correct pair of statement : (i) (costheta+isintheta)^(n)=...

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  5. Find the incorrect pair of statements: (i) Re(z) ge |z| (ii) |z^(n...

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  6. Find the odd one out .

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  7. If omega is the cube root of unity then Assertion : (1-omega+omega^(...

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  8. Simplify [(i^(4)+i^(9)+i^(16))/(3-2i^(5)-i^(10)-i^(15))]^(10)

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  9. Find x and y if sqrt(x^(2)+3x+8)+(h+4)i=y(2+i)

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  10. P represents the variable complex number z find the locus of z if : ...

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  11. Represents the variable complex number z. Find the locus of P if arg((...

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  12. P represents the variable complex number z find the locus of z if : ...

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  13. Simplify : ((cos3theta+isin3theta)^(2)(cos3theta-isin3theta)^(-3))/((c...

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  14. If alpha and beta are the roots of x^(2)-2x+2=0 and cottheta=y+1,show ...

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  15. If alpha and beta are the roots of x^(2)-2x+2=0 the prove that alpha^(...

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  16. Solve x^(9)-x^(5)+x^(4)-1=0

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  17. show that ((-1+isqrt(3))/(2))^(5)+((-1-isqrt(3))/(2))^(5)=-1

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  18. Find all values of ((1)/(2)-i(sqrt(3))/(2))^((3)/(4)) and hence find t...

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  19. If x=costheta+isintheta Prove that (x^(2n)-1)/(x^(2n)+1)=itantheta

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  20. Prove that ((1+sin.(pi)/(8)+icos.(pi)/(8))/(1+sin.(pi)/(8)-icos.(pi)/(...

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