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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Complex Numbers-6
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[Post New]7 May 2007 11:53:12 IST
    Subject: Complex Numbers-6
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joyfrancis (1504)

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If |z-i|  2 and z0 = 5+3i thent he maximum value of |iz+zo| is..
 
 
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[Post New]7 May 2007 12:27:06 IST
    Subject: Complex Numbers-6
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nano0101 (44)

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5i+6??
In the process of learnin..............blunders do happen !!!
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[Post New]7 May 2007 12:47:28 IST
    Subject: Complex Numbers-6
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joyfrancis (1504)

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The ans is 7
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[Post New]8 May 2007 12:07:23 IST
    Subject: Re:Complex Numbers-6
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titun (1529)

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|iz+zo| = |(iz+1)+(zo-1)| = |(iz - i2)+ (zo - 1)|       since, i2 = -1, so, - i2 = 1
                                   |(iz - i2)| + |(zo - 1)|  using triangle inequality,
|iz+zo|   |i (z - i) | +  |4 + 3i|  since z0 - 1 = 5 + 3i - 1 = 4 + 3i
|iz+zo|   |(z - i)| + 5  2 + 5 = 7  from the given data |z-i|  2
 
So, the maximum value of |iz+zo|  is 7.
 
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