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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Complex number
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[Post New]3 Apr 2008 11:43:14 IST
    Subject: Complex number
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rahulraj1 (14)

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Find the complex number Z, the least in absolute value which satisfies the condition( modulas Z-2+2i=1)
    
[Post New]3 Apr 2008 19:34:50 IST
    Subject: Re:Complex number
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rahulraj1 (14)

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Please reply...........................................
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[Post New]3 Apr 2008 19:55:35 IST
    Subject: Re:Complex number
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hsbhatt (4475)

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From triangular inequality |z_1 - z_2| geq |z_1| - |z_2|

Hence 1 = |z-2+2i| = |2i-2 - z| geq |2i-2| - |z|

or   |z| ge |2i-2|-1 = 2sqrt2-1
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