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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

\left|\frac{z-4}{z-8}\right|=1

and

\left|\frac{z}{z-2}\right|=\frac{3}{2}

[NDA I 2016]

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Question : 53 of 120

Marks: +1, -0

What is

\left|\frac{z-6}{z+6}\right|

3
2
1
0

Solution:

\left|\;\;\frac{z-6}{z+6}\right| = \left|\;\;\frac{6-6}{6+6}\right| = 0

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