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4+5((-1+i sqrt3)/2)^2008 +3((-1+i sqrt3)...

`4+5((-1+i sqrt3)/2)^2008 +3((-1+i sqrt3)/2)^2009`=

A

`-i sqrt3`

B

`i sqrt3`

C

`1-i sqrt3`

D

`-1+ i sqrt3`.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. If ax^2+bx+c=0 and 2x^2+3x+4=0 have a common root, where a, b, c in N ...

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  2. If (3+i)(z+bar z)-(2+i) (z- bar z)+14i=0, then z bar z =

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  3. 4+5((-1+i sqrt3)/2)^2008 +3((-1+i sqrt3)/2)^2009=

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  4. If the equation : (a +1) x^2 -(a+2)x+(a+3)=0 has roots equal in magni...

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  5. If alpha and beta are the roots of the quadratic equation x^2+4x+3=0,...

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  6. Which one of the following is one of the roots of the equation (b-c) x...

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  7. What is the value of x satisfying the equation : 16((a-x)/(a+x))^3= (a...

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  8. If alpha, beta are the roots of the equation : 2x^2-2(1+n^2)x+(1+n^2+n...

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  9. The roots of Ax^2 + Bx + C =0 are r and s. For the roots of x^2+ px + ...

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  10. What is the value of ((-1+i sqrt3)/2)^900+ ((-1-i sqrt3)/2)^301 ?

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  11. If 2^x+3^y =17 and 2^(x+2)-3^(y+1)=5, then what is the value of x ?

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  12. What is ((sqrt3+i))/((1+sqrt3 i)) equal to ?

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  13. If z1, z2, z3 are complex numbers such that |z1|= |z2|= |z3| =|1/z1+1/...

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  14. For positive integers n1,n2, the value of the expression : (1+i)^(n1)+...

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  15. If z1, z2 are two complex numbers satisfying the equation |(z1 +z2)/(z...

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  16. The equation z bar z+a bar z+bar a z+b=0, b in R represents a circle i...

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  17. If cos alpha+ cos beta + cos gamma = sin alpha+ sin beta +sin gamma= 0...

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  18. If x satisfies |x-1|+|x-2|+|x-3| ge6, then :

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  19. If 5le x le8, then :

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  20. If (x^2-5x+6)/(x^2-x+1) is negitive then :

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