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If (|2z - 3|)/(|z-i|)= k is the equatio...

If `(|2z - 3|)/(|z-i|)= k` is the equation of circle with complex number 'I' lying inside the circle, find the values of K.

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We have
`(|2z-3|)/(|z-1|)=k`
`implies(|z-3//2|)/(|z-i|)=(k)/(2),` this is equation of circle if `kne0,2`
If 'I' lies inside the circle then `(k)/(2)gt1 " or "kgt2.`
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