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If z= (sqrt3-i)/2 , " then " (i^(101)+z^...

If `z= (sqrt3-i)/2 , " then " (i^(101)+z^(101))^(103)` erqual

A

iz

B

z

C

` barz`

D

`omegaz, (omega ` is complex cube root of unity)

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The correct Answer is:
B
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AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -B) (objective Type Questions ( one option is correct)
  1. If f(x) and g(x) are two polynomials such that the polynomial h(x)=xf(...

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  2. The value of (x+omega+omega^(2)) (x +omega^(2)+omega^(4))(x +omega^(...

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  3. If z= (sqrt3-i)/2 , " then " (i^(101)+z^(101))^(103) erqual

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  4. The region of the complex plane for which |(z-a)/(z+veca)|=1,(Re(a) !=...

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  5. If the imaginary part of (2z+1)/(i z+1) is -2 , then show that the loc...

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  6. In z is a complex number stisfying |2008z-1|= 2008|z-2|, then locus z ...

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  7. The locus of the points z satisfying the condition arg ((z-1)/(z+1))=p...

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  8. the locus of z=i+2exp(i(theta+pi/4)) is

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  9. If one vertex and centre of a square are z and origin then which of th...

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  10. if the complex no z1 , z2 and z3 represents the vertices of an equ...

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  11. If |z-2-3i|+|z+2-6i|=4 where i=sqrt(-1) then find the locus of P(z)

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  12. If z(1),z(2),z(3) and u,v,w are complex numbers represending the verti...

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  13. If |z-25i| lt= 15. then |"maximum " arg(z) - "minimum " arg(z)| equals

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  14. For two complex numbers z(1) and z(2) , we have |(z(1)-z(2))/(1-barz(1...

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  15. Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

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  16. If the ratio of the roots of the equation lx^2+nx+n=0 is p:q prove tha...

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  17. For the equation |x^(2)| + |x| -6=0, the roots are

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  18. If a+b+c=0 and a,b,c are ratiional. Prove that the roots of the equati...

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  19. If secalpha, tanalpha are roots of ax^2 + bx + c = 0, then

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  20. If x is real then the values of (x^(2) + 34 x - 71)/(x^(2) + 2x - 7) d...

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