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If omega(ne1) is a cube root of unity , ...

If `omega(ne1)` is a cube root of unity , and `(1+omega)^7=A+Bomega` . Then (A,B) rquals :

A

(1,0)

B

(-1,1)`

C

(0,1)

D

(1,1)

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

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  2. If z and omega are two nonzero complex numbers such that |zomega|=1 an...

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  3. If omega(ne1) is a cube root of unity , and (1+omega)^7=A+Bomega . The...

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  4. The polar form of 1+sqrt(3)i is

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  5. The mod -amplitude form of sqrt(3)-i is

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  6. The mod -amplitude form of -sqrt(3)-i is

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  7. The mod -amplitude form of 1-sqrt(3)i

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  8. The mod -amplitude form of 5+12i is

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  9. The mod -amplitude form of (1+7i)/(2-i)^2 is

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  10. The mod -amplitude form of 1+itan theta is

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  11. The mod -amplitude form of 1+cos theta-isin theta is

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  12. The mod -amplitude form of sintheta-i cos theta is

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  13. If (pi)/(2) lt alpha (3pi)/(2) , the modulus argument form of (1 + cos...

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  14. If (cos 3alpha+isin3alpha)(cos 5beta+isin5beta)=cos theta+isintheta " ...

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  15. If x+iy=cis, alpha, cis alpha then value of x^(2)+y^(2)

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  16. If cis alpha.cis beta.cis gamma=cis x then the value of x is

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  17. If A,B,C are angles of a triangle such that x = cis A , y = cis B , z...

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  18. For any two complex numbers z1,z2 and real numbers a and b , |az1 -bz2...

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  19. If |z1|=|z2|=1 , then |z1+z2| =

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  20. If (5z2)/(7z1) is purely imaginary , then |(2z1+3z2)/(2z1-3z2)|=

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