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If z is a complex number such that `|z|geq2` , then the minimum value of `|z+1/2|` (1) is equal to `5/2` (2) lies in the interval (1, 2) (3) is strictly greater than `5/2` (4) is strictly greater than `3/2` but less than `5/2`

A

is strictly greater than `5/2`

B

is equal to `5/2`

C

is strictly greater than `3/2` but less than `5/2`

D

lies in the interval (1,2)

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS ENGLISH-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. 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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  3. The maximum value of |a r g(1/(1-z))|for|z|=1,z!=1 is given by.

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  4. about to only mathematics

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

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  6. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

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  7. Let z be a complex number such that the imaginary part of z is nonz...

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  8. If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the...

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

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  10. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

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  11. Let w = (sqrt 3/2 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Furthe...

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  12. Express in the form of complex number if z=i^(-39)

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  13. Express in the form of complex number (1-i)^4

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  14. If z is a complex number such that |z|geq2 , then the minimum value...

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  15. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

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  16. Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2...

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  17. For any integer k , let alphak=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt...

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  18. A value of theta for which (2+3i sin theta)/(1-2i sintheta) purely ima...

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  19. Let 0 ne a, 0 ne b in R. Suppose S={z in C, z=1/(a+ibt)t in R, t ne ...

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  20. Let omega be a complex number such that 2omega+1=z where z=sqrt(-3). I...

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