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

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

A

a circle

B

an ellipse

C

a parabola

D

hyperbola

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Chapter Test
  1. Let z1, z2, z3 be three vertices of an equilateral triangle circumscri...

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  2. If omega is the complex cube root of unity, then the value of omega+om...

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

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  4. If z lies on the circle |z-1|=1, then (z-2)/z is

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  5. If a gt 0 and the equation |z-a^(2)|+|z-2a|=3, represents an ellipse, ...

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  6. For any complex number z , find the minimum value of |z|+|z-2i|dot

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  7. Find the greatest and the least value of |z1+z2| ifz1=24+7ia n d|z2|=6...

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  8. For all complex numbers z1, z2 satisfying |z1| =12 and |z2-3-4i|=5, ...

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  9. If k gt 1, |z(1)| lt k and |(k-z(1)barz(2))/(z(1)-kz(2))|=1, then

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  10. If |z-i|=1 and arg (z) =theta where 0 lt theta lt pi/2, then cottheta-...

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  11. If Re(z)<0 then the value of (1+z+z^2+.....+z^n) cannot exceed

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  12. Let z(1),z(2),z(3) be three complex numbers satisfying 1/z(1)+1/z(2)+1...

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  13. a and b are real numbers between 0 and 1 such that the points z1 =a+ i...

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  14. If omega is a cube root of unity, then find the value of the following...

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  15. If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...

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  16. If z=re^i theta then |e^(iz)| is equal to:

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  17. If a complex number z lies in the interior or on the boundary of a cir...

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  18. Let z1 and z2 be two non - zero complex numbers such that z1/z2+z2/z...

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  19. If z(1),z(2),z(3) be vertices of an equilateral triangle occurig in th...

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  20. Let z be a complex number satisfying |z-5i|<=1 such that amp(z) is min...

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