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Let A,B and C be three sets of complex n...

Let A,B and C be three sets of complex numbers as defined below: `{:(,A={z:Im(z) ge 1}),(,B={z:abs(z-2-i)=3}),(,C={z:Re(1-i)z)=3sqrt(2)"where" i=sqrt(-1)):} `
The number of elements in the set `A cap B cap C`, is

A

0

B

1

C

2

D

`oo`

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The correct Answer is:
B
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VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
  1. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

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  2. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

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  3. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

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  4. about to only mathematics

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  5. If z is complex number of unit modulus and argument theta then arg ...

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  6. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

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  7. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

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  8. A man walks a distance of 3 units from the origin towards the North-...

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  9. The shaded region ,where P=(-1 ,0)Q=(-1 + sqrt(2),sqrt(2)) R=(-1+sq...

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  10. Let 0ltalphalt(pi)/(2) be a fixed angle. If P=(costheta,sintheta)andQ=...

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  11. The complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2-z3) =(1- i sq...

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  12. about to only mathematics

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  13. Let z=costheta+isin theta, where i=sqrt(-1). Then the value of sum(m=1...

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  14. If omega is a cube root of unity but not equal to 1, then minimum valu...

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  15. about to only mathematics

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  16. about to only mathematics

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  17. Let z=(-1+sqrt(3)i)/(2), where i=sqrt(-1), and r, s in {1, 2, 3}. Let ...

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  18. Let a,b in R and a^(2)+b^(2) ne 0. Suppose S={z in C:z=(1)/(a+ibt),t...

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  19. Let omega be a complex cube root of unity with omega!=1a n dP=[p(i j)]...

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  20. The quadratic equation p(x)=0 with real coefficients has purely imagin...

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