UPSC NDA I 2016 Mathematics Solved Paper

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For the next two (2) items that follow
Let z be a complex number satisfying
|
z−4
z−8
|
=1
and |
z
z−2
|
=
3
2
[NDA I 2016]
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Question : 52 of 120
 
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What is |z| equal to ?
[NDA I 2016]
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