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For all complex numbers `z_1, z_2` satisfying `|z_1| =12 and |z_2-3-4i|=5`, the minimum value of `|z_1-z_2|` is

A

0

B

2

C

7

D

17

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -SOLVED EXAMPLES LEVEL 1
  1. if (x+i y)^(1/3) = a+ib then (x/a) + (y/b) equals to

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  2. If z epsilon C, the minimum value of |z| + |z-i| is attained at

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

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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 1, omega, ......,omega^(n-1) are the n^(th) roots of unity,then va...

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  6. If omega = "cos"(pi)/(n) + "i sin" (pi)/(n), then value of 1 + omega +...

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  7. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

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  8. The locus of the center of a circle which touches the circles |z-z1|=a...

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  9. If |z^2-1|=|z|^2+1, then z lies on (a) a circle (b) the imaginar...

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  10. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

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  11. If |z""+""4|lt=3 , then the maximum value of |z""+""1| is (1) 4...

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  12. Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi Then a...

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  13. If z(1) + z(2) + z(3) = 0 and |z(1)| = |z(2)| = |z(3)| = 1, then value...

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  14. If z satisfies the relation |z-i|z||=|z+i|z|| then

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  15. If alphaand betaare different complex numbers with |beta|=1,then fin...

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  16. Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then...

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  17. If |z-4/z| = 2 , then the maximum value of |z|

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  18. If |omega|=2, then the set of points z=omega-1/omega is contained in o...

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  19. If |z| = 1, z ne 1, then value of arg ((1)/(1-z)) cannot exceed

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

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