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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)):}`
Let z be any point in `A cap B cap C`. Then, `abs(z+1-i)^(2)+abs(z-5-i)^(2)` lies between

A

25 and 29

B

30 and 34

C

35 and 39

D

40 and 44

Text Solution

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The correct Answer is:
C
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VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
  1. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

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

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  5. about to only mathematics

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

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

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

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

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

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

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

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  13. about to only mathematics

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

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

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  16. about to only mathematics

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  17. about to only mathematics

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

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

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