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(x^(3)-1) can be factorized as Where ...

`(x^(3)-1)` can be factorized as
Where `omega` is one of the cube roots of unity.

A

A)`(x-1) ( x - omega ) ( x + omega^(2))`

B

B)`( x-1) ( x- omega) ( x - omega^(2))`

C

C)`( x-1) ( x+ omega ) ( x + omega^(2))`

D

D)`( x-1) ( x + omega ) ( x - omega^(2))`

Text Solution

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The correct Answer is:
B
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PUNEET DOGRA-COMPLEX NUMBER-PREVIOUS YEAR QUESTIONS
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  2. What is the real part of ( sin x + icos x )^(3), where i= sqrt( -1) ?

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  3. (x^(3)-1) can be factorized as Where omega is one of the cube roots...

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  4. What is ((sin ""(pi)/( 6) +i (1-cos""(pi)/(6)))/(sin""(pi)/(6)-i(1-cos...

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  5. What is ((1+i)^(4n+5))/((1-i)^(4n+3)) equal to, where n is a natural n...

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  6. What is ((sqrt(3) +i)/(sqrt(3)-i))^(6) equal to, where i = sqrt( -1) ?

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  7. If z is a complex number such that |z| =4 and arg (z) = ( 5pi)/( 6), t...

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  8. What is the argument of the complex number ((1+i)(2+i))/(3-i), where i...

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  9. If P and Q are two complex numbers, then the modulus of the quotient o...

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  10. Let z= x+iy, where x, y are real variable and i = sqrt(-1). If |2z -1|...

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  11. If | z + bar(z)| = | z - bar(z)|, then the locus of z is

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  12. What is one of the square roots of 3+4i, where i= sqrt(-1) ?

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  13. What is the value of sqrt(-i), where i = sqrt( -1) ?

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  14. What is the principle argument of ( -1-i) where i = sqrt( - 1).

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  15. The modulus-argument form of sqrt( 3) + i, where i = sqrt( -1) is

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  16. In order to pass in an exam a student is required to get 975 marks. pr...

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  17. The value of sum sum(n=1)^(13) ( i^(n) + i^(n+1)) where i= sqrt( -1) ,...

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  18. If A+iB where i= sqrt(-1) then what is the value of A ?

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  19. If Z= - bar(Z) , then which one of the following is correct?

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  20. If z = ( 1+ 2i)/( 2-i) - ( 2-i)/( 1+ 2i), then what is the value of z^...

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