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Let A, B, C be three sets of complex num...

Let A, B, C be three sets of complex number as defined below: `A={z:Imge1}, B={z:|z-2-i|= 3},C:{z:Re((1-i)z)=sqrt(2)}` The number of elements in the set `AnnBnnC` is

A

0

B

1

C

2

D

`infty`

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The correct Answer is:
B
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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. If abs(z+4) le 3, the maximum value of abs(z+1) is

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  3. Let A, B, C be three sets of complex number as defined below: A={z:Img...

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

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

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  7. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

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  8. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

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  9. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

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  10. If |Z-4/Z|=2 then maximum value of |Z| is equal to

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

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  12. Let omega be the complex number cos((2pi)/3)+isin((2pi)/3). Then the...

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  13. If alpha and beta are the roots of the equation x^(2)-x+1=0, alpha^(20...

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  14. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

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  15. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

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  16. The set {R e((2i z)/(1-z^2)): zi sacom p l e xnu m b e r ,|z|=1,z=+-1}...

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  17. The maximum value of |a r g(1/(1-z))|for|z|=1,z!=1 is given by.

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  18. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

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  19. Let alpha and beta be real numbers and z be a complex number. If z^(2...

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  20. If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

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