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Let z = 1 - t + isqrt(t^(2) + t + 2) , w...

Let `z = 1 - t + isqrt(t^(2) + t + 2)` , where t is a real parameter . The locus of z in the Argand plane is

A

a hyperbola

B

an ellipse

C

a straight line

D

a circle

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The correct Answer is:
A
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. tan{ilog((a-ib)/(a+ib))}=

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  2. The locus represented by |z-1|=|z+i| is

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  3. Let z = 1 - t + isqrt(t^(2) + t + 2) , where t is a real parameter . T...

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  4. In the Argand Diagram , all the complex numbers z satisfying |z - 4i| ...

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  5. The region of the argand plane defined by |z-i| + |z +i| le 4 is

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  6. If (z+2)/(z+6i) is purely real then the locus of z = x +iy is

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  7. If |z -1| lt 2 |z - 2| then the locus of z = x + iy is

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  8. If the imaginary part of (2z + 1)/(iz+ 1) is -2 , then the locus of th...

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  9. z = x + iy and w = (1 - iz)/(z-i) , then |w| = 1 implies in the comple...

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  10. If Amp ((z+2)/(z-4i))=pi/2 then the locus of z = x + iy is .

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  11. If Arg ((2 - z)/(2 + z)) = (pi)/(6) and z = x + iy , then the locus of...

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  12. If omega=z/(z-1/3i) and |omega|=1 then z lies on

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  13. The points in the set {zinC: Arg " ((z-2)/(Z-6i))=pi/2} lie on the cu...

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  14. Statement - I : If n = 4m + 3 , is integer then i^(n) is equal to -i ...

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  15. The complex equation |z + 1- i| = |z + i-1| represents a

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  16. If z(1) = 1 , z(2) = i and A = Arg (z(1) z(2)) B = Arg ((z(1))/(z(2)...

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  17. The descending order of the principal values of arguments of the compl...

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  18. If x(n) + iy(n) = (1 + i)^(n) then x(n - 1) y(n) - x(n) y(n- 1) =

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  19. If x=-5+4i then x^4+9x^3+35x^2-x+4=

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  20. If x is a fifth root of unity then 1 + x + x^(2) + …x^(100)

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