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28 Nov 2009 13:46:37 IST

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Let there be atleast one complex number z such thatmod (z-mi) = m+5mod (m-4) < 3Then fi

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Let there be atleast one complex number z such that

mod (z-mi) = m+5

mod (m-4) < 3

Then find the possible real values of 'm'

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Bipin Dubey

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Joined: 23 Jan 2007

Posts: 7942

28 Nov 2009 20:19:36 IST

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Circle : |z-mi| = m+5, centre = (0,m) and radius = m+5 >= 0

=> m >= -5...........(1)

Given : |m-4| < 3 => -3 < m-4 < 3

1 < m < 7................(2)

from (1) amd (2) : 1 < m < 7

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